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question_answer1)
In an experiment, what is the sum of probabilities of all events?
A)
0.5 done
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B)
1 done
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C)
-2 done
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D)
\[\frac{3}{8}\] done
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question_answer2)
In a throw of a die, what is the probability of getting a prime number?
A)
2 done
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B)
\[\frac{1}{2}\] done
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C)
\[\frac{3}{2}\] done
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D)
6 done
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question_answer3)
Find the probability that a vowel selected at random in the English alphabet is an "i".
A)
\[\frac{1}{5}\] done
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B)
\[\frac{1}{26}\] done
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C)
\[\frac{1}{6}\] done
clear
D)
\[\frac{4}{5}\] done
clear
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question_answer4)
Determine the probability of three coins falling all heads up when tossed simultaneously.
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{6}\] done
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C)
\[\frac{1}{8}\] done
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D)
\[\frac{7}{8}\] done
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question_answer5)
The probability of happening of an event is 45%. Find the probability of that event.
A)
45 done
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B)
4.5 done
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C)
0.45 done
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D)
0.045 done
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question_answer6)
When two dice are thrown, what is the probability of getting a number always greater than 4 on the second dice?
A)
\[\frac{1}{6}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{36}\] done
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D)
\[\frac{2}{3}\] done
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question_answer7)
Determine the probability of getting an even number when a die is rolled.
A)
\[\frac{1}{6}\] done
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B)
\[\frac{1}{36}\] done
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C)
\[\frac{1}{2}\] done
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D)
\[\frac{1}{3}\] done
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question_answer8)
Two numbers are chosen from 1 to 5. Find the probability for the two numbers to be consecutive.
A)
\[\frac{1}{5}\] done
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B)
\[\frac{2}{5}\] done
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C)
\[\frac{1}{10}\] done
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D)
\[\frac{3}{5}\] done
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question_answer9)
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a '10' of a black suit.
A)
\[\frac{1}{13}\] done
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B)
\[\frac{1}{26}\] done
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C)
\[\frac{5}{23}\] done
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D)
\[\frac{1}{52}\] done
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question_answer10)
Two dice are thrown at a time. What is the probability that the difference of the numbers shown on the dice is 1?
A)
\[\frac{5}{18}\] done
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B)
\[\frac{1}{36}\] done
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C)
\[\frac{1}{6}\] done
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D)
\[\frac{7}{36}\] done
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question_answer11)
A bag contains 3 white and 5 red balls. If a ball is drawn at random, find the probability that it is red.
A)
\[\frac{3}{8}\] done
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B)
\[\frac{5}{8}\] done
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C)
\[\frac{3}{15}\] done
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D)
\[\frac{5}{15}\] done
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question_answer12)
From a normal pack of cards, a card is drawn at random. What is the probability of getting a jack or a king?
A)
\[\frac{1}{26}\] done
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B)
\[\frac{1}{52}\] done
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C)
\[\frac{2}{13}\] done
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D)
\[\frac{1}{13}\] done
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question_answer13)
A card is drawn from a packet of 100 cards numbered 1 to 100. Find the probability of drawing a number which is a square.
A)
\[\frac{1}{10}\] done
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B)
\[\frac{9}{100}\] done
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C)
\[\frac{1}{100}\] done
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D)
\[\frac{1}{50}\] done
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question_answer14)
Find the probability for a randomly selected number out of 1, 2, 3, 4, .?., 25 to be a prime number.
A)
\[\frac{2}{25}\] done
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B)
\[\frac{23}{25}\] done
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C)
\[\frac{2}{5}\] done
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D)
\[\frac{9}{25}\] done
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question_answer15)
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, find the number of blue balls in the bag.
A)
15 done
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B)
12 done
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C)
5 done
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D)
10 done
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question_answer16)
A book containing 100 pages is opened at random. Find the probability that a doublet page is found.
A)
\[\frac{9}{100}\] done
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B)
\[\frac{9}{10}\] done
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C)
\[\frac{1}{10}\] done
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D)
\[\frac{1}{5}\] done
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question_answer17)
If a coin is tossed twice, what is the probability of getting atleast one head?
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{4}\] done
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C)
\[\frac{3}{4}\] done
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D)
\[\frac{2}{3}\] done
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question_answer18)
What is the probability of getting a number greater than 2 or an even number in a single throw of a fair die?
A)
\[\frac{1}{3}\] done
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B)
\[\frac{2}{3}\] done
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C)
\[\frac{5}{6}\] done
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D)
\[\frac{1}{6}\] done
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question_answer19)
Find the probability that in a family of 3 children, there will be at least one boy.
A)
\[\frac{3}{4}\] done
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B)
\[\frac{1}{8}\] done
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C)
\[\frac{3}{8}\] done
clear
D)
\[\frac{5}{8}\] done
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question_answer20)
What is the probability that a non-leap year contains 53 Saturdays?
A)
\[\frac{2}{7}\] done
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B)
\[\frac{1}{7}\] done
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C)
\[\frac{2}{365}\] done
clear
D)
\[\frac{1}{365}\] done
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question_answer21)
A bag contains 12 balls out of which\[x\]are white. If one ball is drawn at random, what is the probability that it will be a white ball?
A)
\[x\] done
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B)
\[\frac{x}{2}\] done
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C)
\[\frac{x}{12}\] done
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D)
\[12x\] done
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question_answer22)
A coin is tossed 150 times and data about the outcomes is given in the table.
Outcomes | H | T |
Frequency | 30 | 60 |
What is the probability of getting a head in a trial?
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{3}{5}\] done
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D)
\[\frac{2}{5}\] done
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question_answer23)
Direction: Two coins are tossed simultaneously 80 times and data is recorded in the table given.
Number of head in a trial | 0 | 1 | 2 |
Frequency | 20 | 35 | 25 |
What is the probability of getting two heads?
A)
\[\frac{1}{4}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{7}{16}\] done
clear
D)
\[\frac{5}{16}\] done
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question_answer24)
Direction: Two coins are tossed simultaneously 80 times and data is recorded in the table given.
Number of head in a trial | 0 | 1 | 2 |
Frequency | 20 | 35 | 25 |
What is the probability of getting atleast one head?
A)
\[\frac{3}{4}\] done
clear
B)
\[\frac{5}{16}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{2}{9}\] done
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question_answer25)
Direction: A die is tossed 100 times and the data is recorded in the table.
Outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
Frequency | 20 | 15 | 20 | 15 | 20 | 10 |
What is the probability that we get an even number in a trial?
A)
0.4 done
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B)
0.5 done
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C)
0.3 done
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D)
0.35 done
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question_answer26)
Direction: A die is tossed 100 times and the data is recorded in the table.
Outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
Frequency | 20 | 15 | 20 | 15 | 20 | 10 |
What is the probability of getting a number less than 3?
A)
0.2 done
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B)
0.25 done
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C)
0.35 done
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D)
0.5 done
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question_answer27)
A dental survey of 400 students in a w school revealed that 80 of them had two or more cavities. If the total school enrolment is 1500, about how many students would you expect to have two or more cavities?
A)
300 done
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B)
800 done
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C)
500 done
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D)
600 done
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question_answer28)
The most recent freshman class at Loyola consists of 880 students. Of these, 500 identified themselves as "smokers?. Compute the empirical probability that a randomly selected freshman student from this class is not a "smoker"
A)
\[\frac{8}{22}\] done
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B)
\[\frac{19}{44}\] done
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C)
\[\frac{15}{44}\] done
clear
D)
\[\frac{9}{44}\] done
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question_answer29)
If the probability of winning a game is 0.35, what is the probability of losing it?
A)
0.55 done
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B)
0.75 done
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C)
0.65 done
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D)
0.56 done
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question_answer30)
There are 50 students in a class and their Br annual result is presented in the given table.
Result | Fail | Pass |
No. of Student | 7 | 43 |
If a student is selected at random, find the probability that the student has passed the examination.
A)
0.85 done
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B)
0.68 done
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C)
0.86 done
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D)
0.76 done
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question_answer31)
If P (E) = 0.37, find P (not E).
A)
-0.37 done
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B)
0.73 done
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C)
-0.73 done
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D)
0.63 done
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question_answer32)
1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Monu has purchased one lottery ticket, what is her probability of winning a prize?
A)
0.005 done
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B)
0.75 done
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C)
0.055 done
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D)
0.5 done
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question_answer33)
When a thumbtack is tossed, there are two possible outcomes. If the empirical probability of point up" is fixed to be 0.73, what should be the probability of "point down"?
A)
0.37 done
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B)
0.20 done
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C)
0.27 done
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D)
0.51 done
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question_answer34)
A die is thrown once. What is the probability of getting a number 4 or 5?
A)
\[\frac{2}{3}\] done
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B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{1}{6}\] done
clear
D)
\[\frac{1}{2}\] done
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question_answer35)
A boy tosses a coin 1000 times and finds that it comes up tail 453 times. Find the probability of getting up head.
A)
0.457 done
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B)
0.453 done
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C)
0.574 done
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D)
0.547 done
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question_answer36)
In a cricket match, a batsman hits a sixe 8 times out of 32 balls played. Find the probability that a sixer is not hit in a bail
A)
0.75 done
clear
B)
0.25 done
clear
C)
- 0.25 done
clear
D)
0.5 done
clear
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question_answer37)
A coin is tossed 15 times and observe that head comes up 11 times. What is the probability for a tail to come up?
A)
\[\frac{11}{15}\] done
clear
B)
\[\frac{4}{15}\] done
clear
C)
\[\frac{15}{4}\] done
clear
D)
\[\frac{15}{11}\] done
clear
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question_answer38)
A die is tossed once. Which of the following is the probability of getting 3?
A)
\[\frac{1}{6}\] done
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B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{2}{6}\] done
clear
D)
\[\frac{4}{6}\] done
clear
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question_answer39)
Direction: Two coins are tossed 90 times and data recorded as given in the table.
Number of heads in a trial | 0 | 1 | 2 |
Frequency | 10 | 25 | 55 |
What is the probability of getting one head?
A)
0 done
clear
B)
\[\frac{1}{9}\] done
clear
C)
\[\frac{11}{18}\] done
clear
D)
\[\frac{5}{18}\] done
clear
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question_answer40)
Direction: Two coins are tossed 90 times and data recorded as given in the table.
Number of heads in a trial | 0 | 1 | 2 |
Frequency | 10 | 25 | 55 |
What is the probability of getting two heads?
A)
\[\frac{8}{9}\] done
clear
B)
\[\frac{11}{18}\] done
clear
C)
\[\frac{5}{18}\] done
clear
D)
\[\frac{1}{9}\] done
clear
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question_answer41)
Direction: Two coins are tossed 90 times and data recorded as given in the table.
Number of heads in a trial | 0 | 1 | 2 |
Frequency | 10 | 25 | 55 |
Find the proability of getting atleast one head.
A)
\[\frac{8}{9}\] done
clear
B)
\[\frac{1}{9}\] done
clear
C)
\[\frac{5}{18}\] done
clear
D)
\[\frac{11}{18}\] done
clear
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question_answer42)
Find the probability of not getting 1 or 6 in a single toss of a die.
A)
\[\frac{1}{2}\] done
clear
B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{1}{6}\] done
clear
D)
\[\frac{2}{3}\] done
clear
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question_answer43)
A child has a block in the shape of a cube with one letter written on each face as shown. \[\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\] If the cube is thrown once, what is the probability of getting A?
A)
\[\frac{1}{3}\] done
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B)
\[\frac{2}{8}\] done
clear
C)
\[\frac{2}{5}\] done
clear
D)
\[\frac{2}{3}\] done
clear
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question_answer44)
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability of getting a black ball?
A)
\[\frac{1}{4}\] done
clear
B)
\[\frac{5}{12}\] done
clear
C)
\[\frac{7}{12}\] done
clear
D)
1 done
clear
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question_answer45)
A die is rolled 100 times and the data is recorded as given in the table.
Outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
Frequency | 22 | 13 | 20 | 10 | 25 | 10 |
Which of the following is the probability of getting an odd number in a trial?
A)
\[\frac{11}{50}\] done
clear
B)
\[\frac{1}{5}\] done
clear
C)
\[\frac{67}{100}\] done
clear
D)
\[\frac{1}{4}\] done
clear
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question_answer46)
A card is drawn at random from a pack of well shuffled 52 cards. What is the probability of getting a queen of red suit?
A)
\[\frac{1}{26}\] done
clear
B)
\[\frac{1}{13}\] done
clear
C)
\[\frac{1}{52}\] done
clear
D)
\[\frac{1}{14}\] done
clear
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question_answer47)
Find the probability that a number selected at random from the numbers 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.
A)
\[\frac{9}{25}\] done
clear
B)
\[\frac{16}{25}\] done
clear
C)
\[\frac{11}{25}\] done
clear
D)
\[\frac{6}{25}\] done
clear
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question_answer48)
Find the probability of throwing an even number with an ordinary six faced die
A)
\[\frac{2}{3}\] done
clear
B)
\[\frac{3}{5}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{1}{3}\] done
clear
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question_answer49)
In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary.
A)
\[\frac{1}{5}\] done
clear
B)
\[\frac{4}{5}\] done
clear
C)
\[\frac{2}{5}\] done
clear
D)
\[\frac{3}{5}\] done
clear
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question_answer50)
400 students of class IX of a school appeared for a test of 100 marks in the subject of mathematics and the data about the marks secured is presented in the table.
Marks secured | 0-25 | 26-50 | 51-75 | Above 75 |
Number of student | 50 | 220 | 100 | 30 |
If the result card of a student is picked up at random, what is the probability that the student has secured more than 50 marks?
A)
0.523 done
clear
B)
0.532 done
clear
C)
0.325 done
clear
D)
0.352 done
clear
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question_answer51)
A die is rolled 120 times and the outcomes are recorded in the given table.
Outcome | 1 | Even number less than 6 | Odd number greater-than 1 | 6 |
Frequency | 30 | 35 | 30 | 25 |
Determine the probability of getting an odd number greater than 1 in a trial.
A)
0.167 done
clear
B)
0.125 done
clear
C)
0.29 done
clear
D)
0.25 done
clear
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