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question_answer1)
There are 25 cards numbered from 1 to 25. One card is drawn at random. What is the, probability that the number on this card is not divisible by 3?
A)
\[\frac{6}{25}\] done
clear
B)
\[\frac{17}{25}\] done
clear
C)
\[\frac{19}{25}\] done
clear
D)
\[\frac{11}{25}\] done
clear
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question_answer2)
The probability that a red marble selected at random from a jar containing \[x\]red, y blue and z green marbles is ____.
A)
\[\frac{y}{x+y+z}\] done
clear
B)
\[\frac{x+z}{x+y+z}\] done
clear
C)
\[\frac{x}{x+y+z}\] done
clear
D)
\[\frac{y+z}{x+y+z}\] done
clear
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question_answer3)
One card is drawn from a well-shuffled deck, of 52 cards. The probability of drawing a queen is
A)
\[\frac{1}{12}\] done
clear
B)
\[\frac{1}{13}\] done
clear
C)
\[\frac{1}{50}\] done
clear
D)
\[\frac{3}{10}\] done
clear
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question_answer4)
DIRECTION (4-5): One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing. '4' or '6' of diamond
A)
\[\frac{5}{52}\] done
clear
B)
\[\frac{1}{52}\] done
clear
C)
\[\frac{1}{13}\] done
clear
D)
\[\frac{1}{26}\] done
clear
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question_answer5)
Red ace
A)
\[\frac{1}{26}\] done
clear
B)
\[\frac{2}{26}\] done
clear
C)
\[\frac{3}{26}\] done
clear
D)
\[\frac{4}{26}\] done
clear
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question_answer6)
Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is ____.
A)
\[\frac{5}{36}\] done
clear
B)
\[\frac{5}{12}\] done
clear
C)
\[\frac{11}{36}\] done
clear
D)
\[\frac{1}{12}\] done
clear
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question_answer7)
The given table shows the ages (in years) of 360 patients, getting medical treatment in a hospital.
Age n years) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
No. of patients | 90 | 50 | 60 | 80 | 50 | 30 |
One of the patients is selected at random. The probability that his age is
(a) 30 years or more but less than 40 years is ____. |
(b) 10 years or more is ___. |
A)
B)
C)
D)
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question_answer8)
A die is thrown once. The probability of 1 getting a number greater than 6 is ____.
A)
\[\frac{1}{2}\] done
clear
B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
0 done
clear
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question_answer9)
The probability of guessing the correct answer to a question is \[\frac{x}{2}.\]If the probability of not guessing the correct answer to this question is \[\frac{2}{3},\] then \[x=\_\_\_\_.\]
A)
2 done
clear
B)
3 done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{1}{3}\] done
clear
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question_answer10)
Without looking at any page, a number is chosen at random from the page. What is the probability that the digit at the units place of the number chosen is greater than 6?
A)
\[\frac{3}{10}\] done
clear
B)
\[\frac{6}{10}\] done
clear
C)
\[\frac{4}{10}\] done
clear
D)
None of these done
clear
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question_answer11)
An urn contains 11 oranges, 8 mangoes and 13 apples. A fruit is drawn at random. What is the probability of not drawing an apple?
A)
\[\frac{15}{32}\] done
clear
B)
\[\frac{19}{32}\] done
clear
C)
\[\frac{11}{32}\] done
clear
D)
\[\frac{13}{32}\] done
clear
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question_answer12)
Three coins are tossed simultaneously 100 times. The following outcomes are recorded-
Outcomes | 3 tails | 2 tails | 1 tail | no tail |
Frequency | 23 | 28 | 23 | |
Find the probability of getting more than one tail.
A)
\[\frac{49}{100}\] done
clear
B)
\[\frac{27}{50}\] done
clear
C)
\[\frac{51}{100}\] done
clear
D)
\[\frac{23}{100}\] done
clear
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question_answer13)
A box contains 5 green balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a green ball, then find the number of white balls in the box.
A)
10 done
clear
B)
5 done
clear
C)
15 done
clear
D)
20 done
clear
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question_answer14)
A card is drawn at random from a well shuffled pack of 52 cards. The probability that the card drawn is neither a red card nor a queen is ____.
A)
\[\frac{6}{13}\] done
clear
B)
\[\frac{5}{13}\] done
clear
C)
\[\frac{4}{13}\] done
clear
D)
\[\frac{2}{13}\] done
clear
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question_answer15)
A city survey found that 47% of teenagers have a part time job. The same survey found that 30% plan to attend college. Find the probability that a teenager has a part time job.
A)
\[\frac{37}{100}\] done
clear
B)
\[\frac{30}{100}\] done
clear
C)
\[\frac{40}{100}\] done
clear
D)
\[\frac{47}{100}\] done
clear
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question_answer16)
Ram and Priya are playing a game. Ram's winning probability is \[\frac{1}{3}\]and sum of their winning probabilities is 1. Numerator of Priya's winning probability is ___.
A)
2 done
clear
B)
1 done
clear
C)
3 done
clear
D)
None of these done
clear
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question_answer17)
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A)
10/35 done
clear
B)
25/35 done
clear
C)
15/35 done
clear
D)
None of these done
clear
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question_answer18)
Tanya has the following coins in her pocket: Rs. 1, Rs. 2, Rs. 5, Rs. 10. She selects one coin at random to put in a charity collection box. What is the probability that she
(i) gives more than 20p? |
(ii) has less than Rs. 5 left in her pocket? |
A)
B)
C)
D)
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question_answer19)
Krish went to play a lucky draw contest. 70 tickets of a lucky draw were sold. If the probability of Krish winning the draw is\[\frac{1}{14},\]then the number of tickets bought by Krish is ___.
A)
5 done
clear
B)
10 done
clear
C)
15 done
clear
D)
20 done
clear
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question_answer20)
In a coffee shop, there are 12 pastries for sale, including 6 chocolate muffins. What is the probability that a randomly selected pastry will be chocolate muffin?
A)
\[\frac{2}{3}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
\[\frac{1}{4}\] done
clear
D)
1 done
clear
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question_answer21)
The following table gives the ages of teachers in XYZ school.
Age (in years) Number of teachers |
20-25 | 70 |
25-30 | 110 |
30-35 | 165 |
35-40 | 320 |
40-45 | 200 |
45-50 | 135 |
A teacher is selected at random from the group, then which of the following statements is INCORRECT?
A)
Probability of a teacher having age greater than or equal to 35, is\[\frac{131}{200}.\]. done
clear
B)
Probability of at eacher having age more than or equal to 25 and less than 40, is\[\frac{119}{200}.\] done
clear
C)
Probability of a teacher selected is of age not less than 30, is \[\frac{17}{200}.\] done
clear
D)
Probability of a teacher selected from the youngest group, is \[\frac{14}{200}.\] done
clear
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question_answer22)
Two coins are tossed simultaneouses. Find P, Q and R respectively.
Number of Heads | Required probability |
(i) | 0 | P |
(ii) | 1 | Q |
(iii) | 2 | R |
A)
\[\frac{1}{2},\frac{1}{4},\frac{1}{4}\] done
clear
B)
\[\frac{1}{4},\frac{1}{4},\frac{1}{2}\] done
clear
C)
\[\frac{1}{4},\frac{1}{2},\frac{1}{4}\] done
clear
D)
\[\frac{1}{2},\frac{1}{2},\frac{1}{4}\] done
clear
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question_answer23)
State ?T? for true and 'F' for false.
(i) The probability of an impossible event is 0. |
(ii) Sample space when two coins are tossed is {H, T, T, H} |
(iii) Probability of an event 'A'+ probability of an event 'not A' = 1 |
(iv) Probability of choosing a vowel from the English alphabets is\[\frac{1}{5}.\] |
(v) The range of probability of any event lies between -1 to 1. |
A)
B)
C)
D)
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question_answer24)
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of AC sets in their home. The information so obtained, is shown here.
Monthly income (in Rs.) | Number of |
AC/households |
| 0 | 1 | 2 | Above 2 |
<10000 | 20 | 80 | 10 | 0 |
10000-14999 | 10 | 240 | 60 | 0 |
15000-19999 | 0 | 380 | 120 | 30 |
20000-24999 | 0 | 520 | 370 | 80 |
25000 and above | 0 | 1100 | 760 | 220 |
Find the probability of households: (a) earning Rs. (15000-19999) per month and having more than one AC. (b) earning Rs. 25000 and more per month and having exactly one AC. (c) not having any AC.
A)
B)
C)
D)
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question_answer25)
Which of the following statements is CORRECT? Cards marked with the numbers 2 to 101 are put in a box and mixed thoroughly. One card is drawn from the box.
Statement 1: Probability of prime numbers less than 20 is \[\frac{2}{25}.\] |
Statement 2: Probability of perfect square is \[\frac{9}{100}.\] |
A)
Only Statement-1 done
clear
B)
Only Statement-2 done
clear
C)
Both Statement-1 and Statement-2 done
clear
D)
Neither Statement-1 nor Statement-2 done
clear
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