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question_answer1)
What is the chance of throwing a number greater than 4 with an ordinary dice whose faces are numbered from 1 to 6?
A)
\[\frac{1}{3}\] done
clear
B)
\[\frac{1}{6}\] done
clear
C)
\[\frac{1}{9}\] done
clear
D)
\[\frac{1}{8}\] done
clear
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question_answer2)
Find the chance of throwing at least one ace in a simple throw with two dice.
A)
\[\frac{1}{12}\] done
clear
B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{1}{4}\] done
clear
D)
\[\frac{11}{36}\] done
clear
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question_answer3)
Three coins are tossed. What is the probability of getting 2 Tails and 1 head?
A)
\[\frac{1}{4}\] done
clear
B)
\[\frac{3}{8}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{1}{8}\] done
clear
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question_answer4)
Three coins are tossed. What is the probability of getting 1 Tail and 2 Heads?
A)
\[\frac{3}{8}\] done
clear
B)
\[1\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{3}{4}\] done
clear
View Solution play_arrow
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question_answer5)
Three coins are tossed. What is probability of getting Neither 3 heads nor 3 tails?
A)
\[\frac{1}{2}\] done
clear
B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{3}{4}\] done
clear
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question_answer6)
Three coins are tossed. What is the probability of getting Three heads?
A)
\[\frac{1}{8}\] done
clear
B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{2}{3}\] done
clear
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question_answer7)
100 students appeared for two examinations. 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has failed in both the examinations?
A)
\[\frac{1}{5}\] done
clear
B)
\[\frac{1}{7}\] done
clear
C)
\[\frac{5}{7}\] done
clear
D)
\[\frac{5}{6}\] done
clear
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question_answer8)
What is the probability of throwing a number greater than 2 with a fair dice?
A)
\[\frac{2}{3}\] done
clear
B)
\[\frac{2}{5}\] done
clear
C)
1 done
clear
D)
\[\frac{3}{5}\] done
clear
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question_answer9)
In rolling two dices, find the probability that there is at least one ?6?.
A)
\[\frac{11}{36}\] done
clear
B)
\[\frac{22}{36}\] done
clear
C)
\[\frac{15}{36}\] done
clear
D)
\[\frac{29}{36}\] done
clear
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question_answer10)
Vijay throws three dice in a game. If it is known that he needs 15 or higher in this throw to win then find the chance of his winning the game.
A)
\[\frac{5}{54}\] done
clear
B)
\[\frac{17}{216}\] done
clear
C)
\[\frac{13}{216}\] done
clear
D)
\[\frac{15}{216}\] done
clear
View Solution play_arrow
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question_answer11)
In a horse race, there were 18 horses numbered 1 ? 18. The probability that horse 1 would win is 1/6, that horse 2 would win is 1/10 and that horse 3 would win is 1/8. Assuming that a tie is impossible, find the chance that one of the three will win.
A)
\[\frac{47}{120}\] done
clear
B)
\[\frac{119}{120}\] done
clear
C)
\[\frac{11}{129}\] done
clear
D)
\[\frac{1}{5}\] done
clear
View Solution play_arrow
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question_answer12)
A bag contains 20 balls marked 1 to 20. One ball is drawn at random. Find the probability that it is marked with a number multiple of 5 or 7.
A)
\[\frac{3}{10}\] done
clear
B)
\[\frac{7}{10}\] done
clear
C)
\[\frac{1}{11}\] done
clear
D)
\[\frac{2}{3}\] done
clear
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question_answer13)
The probability that a student will pass in mathematics is 3/5 and the probability that he will pass in English is 1/3. If the probability that he will pass in both mathematics and English is 1/8, what is the probability that he will pass in at least one subject?
A)
\[\frac{97}{120}\] done
clear
B)
\[\frac{87}{120}\] done
clear
C)
\[\frac{53}{120}\] done
clear
D)
\[\frac{120}{297}\] done
clear
View Solution play_arrow
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question_answer14)
Two fair dices are thrown. Given that the sum on the die is less than or equal to 4, find the probability that only one dice shows two.
A)
\[\frac{1}{4}\] done
clear
B)
\[\frac{1}{2}\] done
clear
C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{1}{3}\] done
clear
View Solution play_arrow
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question_answer15)
What is the chance that a leap year, selected at random, will contains 53 Sundays?
A)
\[\frac{2}{7}\] done
clear
B)
\[\frac{3}{7}\] done
clear
C)
\[\frac{1}{7}\] done
clear
D)
\[\frac{5}{7}\] \[=\frac{164}{191}\] done
clear
View Solution play_arrow
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question_answer16)
Out of all the 2- digit integers between 1 to 200, a 2?digit number has to be selected at random. What is the probability that selected number is not divisible by 7?
A)
\[\frac{11}{90}\] done
clear
B)
\[\frac{33}{90}\] done
clear
C)
\[\frac{55}{90}\] done
clear
D)
\[\frac{164}{191}\] done
clear
View Solution play_arrow
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question_answer17)
Tom and Dick are running in the same race; the probability of their winning are 1/5 and ½ respectively. Find the probability that either of them will win the race.
A)
\[\frac{7}{10}\] done
clear
B)
\[\frac{3}{10}\] done
clear
C)
\[\frac{1}{5}\] done
clear
D)
\[\frac{7}{9}\] done
clear
View Solution play_arrow
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question_answer18)
Two dice are thrown. If the total on the faces of the two dices are 6, find the probability that there are two odd numbers on the faces.
A)
\[\frac{2}{5}\] done
clear
B)
\[\frac{1}{5}\] done
clear
C)
\[\frac{5}{9}\] done
clear
D)
\[\frac{3}{5}\] done
clear
View Solution play_arrow
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question_answer19)
A speaks the truth 3 out of 4 times, and B 5 out of 6 times. What is the probability that they will contradict each other in stating the same fact?
A)
\[\frac{2}{3}\] done
clear
B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{5}{6}\] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer20)
In a bag, there are 12 black and 6 white balls. Two balls are chosen at random and first one is found to be black. The probability that the second one is also black is:
A)
\[\frac{11}{17}\] done
clear
B)
\[\frac{12}{17}\] done
clear
C)
\[\frac{13}{18}\] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer21)
Seven white balls and three black balls are randomly placed in a row. Find the probability that no two black balls are placed adjacent to each other.
A)
\[\frac{7}{15}\] done
clear
B)
\[\frac{2}{15}\] done
clear
C)
\[\frac{3}{7}\] done
clear
D)
\[\frac{2}{7}\] done
clear
View Solution play_arrow
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question_answer22)
Out of a pack of 52 cards, one card is lost; from the remainder of the pack, two cards are drawn and are found to be spades. Find the chance that the missing card is a spade.
A)
\[\frac{11}{50}\] done
clear
B)
\[\frac{11}{49}\] done
clear
C)
\[\frac{10}{49}\] done
clear
D)
\[\frac{10}{50}\] done
clear
View Solution play_arrow
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question_answer23)
The odds in favour of an event are \[2:7\]. Find the probability of occurrence of this event.
A)
\[\frac{2}{9}\] done
clear
B)
\[\frac{5}{12}\] done
clear
C)
\[\frac{7}{12}\] done
clear
D)
\[\frac{2}{5}\] done
clear
View Solution play_arrow
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question_answer24)
A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely, find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail.
A)
\[\frac{1}{3}\] done
clear
B)
\[\frac{2}{3}\] done
clear
C)
\[\frac{2}{5}\] done
clear
D)
\[\frac{4}{15}\] done
clear
View Solution play_arrow
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question_answer25)
In a class, 45% students read English, 30% read French and 20% read both English and French. One student is selected at random. Find the probability that he reads English, if it is known that he reads French.
A)
\[\frac{1}{3}\] done
clear
B)
\[\frac{2}{3}\] done
clear
C)
\[\frac{6}{6}\] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer26)
The probability that A can solve a problem is \[\frac{2}{3}\]and the probability that B can solve the same problem is \[\frac{3}{5}\]. Find the probability that at least one of A and B will be able to solve the problem.
A)
\[\frac{12}{15}\] done
clear
B)
\[\frac{13}{15}\] done
clear
C)
\[\frac{19}{45}\] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer27)
A four digit number is formed with the digits 1, 3, 4, 5 without repetition, Find the chance that the number is divisible by 5.
A)
\[\frac{3}{4}\] done
clear
B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{9}{16}\] done
clear
D)
\[\frac{1}{16}\] done
clear
View Solution play_arrow
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question_answer28)
If one number is selected from the first 70 natural numbers, the probability that the number is a solution of \[{{x}^{2}}+2x>4\] is
A)
\[\frac{69}{70}\] done
clear
B)
\[\frac{1}{70}\] done
clear
C)
\[1\] done
clear
D)
\[0\] done
clear
View Solution play_arrow
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question_answer29)
An urn contains 9 red balls and p green balls. If the probability of picking a red ball is thrice that of picking a green ball, then p is equal to _____.
A)
6 done
clear
B)
7 done
clear
C)
2 done
clear
D)
3 done
clear
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question_answer30)
A four - digit number is formed by using the digits 1, 2, 4, 8 and 9 without repetition. If one number is selected from those numbers, then what is the probability that it will be an odd number?
A)
\[\frac{1}{5}\] done
clear
B)
\[\frac{2}{5}\] done
clear
C)
\[\frac{3}{5}\] done
clear
D)
\[\frac{4}{5}\] done
clear
View Solution play_arrow
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question_answer31)
The probability that the month of April has exactly 5 Mondays is
A)
\[\frac{4}{7}\] done
clear
B)
\[\frac{5}{7}\] done
clear
C)
\[\frac{3}{7}\] done
clear
D)
\[\frac{2}{7}\] done
clear
View Solution play_arrow
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question_answer32)
A basket contains 10 fruits of which 3 are rotten. If one fruit is drawn from the basket, then the probability that the fruit drawn is not rotten is______.
A)
\[\frac{4}{5}\] done
clear
B)
\[\frac{3}{5}\] done
clear
C)
\[\frac{7}{10}\] done
clear
D)
\[\frac{3}{10}\] done
clear
View Solution play_arrow
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question_answer33)
A bag contains 5 pens and 6 pencils. If a boy selects 2 articles from the bag, then what is the probability that the selected articles will be a pen and a pencil?
A)
\[\frac{2}{11}\] done
clear
B)
\[\frac{3}{11}\] done
clear
C)
\[\frac{6}{11}\] done
clear
D)
\[\frac{5}{11}\] done
clear
View Solution play_arrow
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question_answer34)
A three-digit number is to be formed using the digits 3, 4, 7, 8 and 2 without repetition, what is the probability that it is an odd number?
A)
\[\frac{2}{5}\] done
clear
B)
\[\frac{1}{5}\] done
clear
C)
\[\frac{4}{5}\] done
clear
D)
\[\frac{3}{5}\] done
clear
View Solution play_arrow
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question_answer35)
Two cards are drawn form a pack of cards one after another so that the first card is replaced before drawing the second card. What is the probability that the first card is an ace and the second is a number card?
A)
\[\frac{9}{169}\] done
clear
B)
\[\frac{1}{52}\] done
clear
C)
\[\frac{1}{4}\] done
clear
D)
\[\frac{17}{52}\] done
clear
View Solution play_arrow
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question_answer36)
A box contains 60 pens which are blue-inked or black-inked. If a pen is picked at random, the probability of picking a blue-inked pen is \[\frac{2}{5}\], what is the number of blue-inked pens in the box?
A)
32 done
clear
B)
48 done
clear
C)
30 done
clear
D)
24 done
clear
View Solution play_arrow
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question_answer37)
All the three face cards of spades are removed from a well - shuffled pack of 52 cards. A card is drawn at random from the remaining pack. Find the probability of getting a queen.
A)
\[\frac{3}{52}\] done
clear
B)
\[\frac{3}{49}\] done
clear
C)
\[\frac{1}{26}\] done
clear
D)
\[\frac{1}{52}\] done
clear
View Solution play_arrow
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question_answer38)
A fair coin is tossed thrice. Identify the probability of getting 3 tails as a fraction.
A)
\[\frac{1}{8}\] done
clear
B)
\[\frac{3}{8}\] done
clear
C)
\[\frac{7}{8}\] done
clear
D)
\[\frac{1}{4}\] done
clear
View Solution play_arrow
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question_answer39)
Set {\[x:5\le \times \le 22,\times \] is an integer}. If an element from set P is picked at random, calculate the probability that it is a prime number.
A)
\[\frac{5}{18}\] done
clear
B)
\[\frac{1}{3}\] done
clear
C)
\[\frac{7}{9}\] done
clear
D)
\[\frac{5}{6}\] done
clear
View Solution play_arrow
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question_answer40)
Two dice are rolled at once. What it the probability of getting an even number on the first die or a total of 8?
A)
\[\frac{4}{9}\] done
clear
B)
\[\frac{5}{9}\] done
clear
C)
\[\frac{7}{9}\] done
clear
D)
\[\frac{2}{9}\] done
clear
View Solution play_arrow