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PROBABILITY-1 || Quantitative Aptitude || CAT 2021 || 26 October

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Question 1

The probability of hitting a target by Pawan, Qasim and Ratna is 75%, 50% and 80% respectively. Find the probability that exactly two of them hit the target.

Question 2

There are 30 balls of three different colours in a bag such that number of blue balls is 2 less than number of black balls. Ratio of number of blue balls to number of white balls is 2 : 3. If 3 balls are drawn from the bag randomly then find the probability that all the three balls are of different colours.  

Question 3

There are three boxes of chocolates A, B and C. In box A, there are 3 Munch and 1 Dairy Milk, in box B there are (x + 2) Munch and x Dairy Milk, whereas in box C, there are 1 Munch and 2 Dairy Milk. One chocolate is selected at random from each box. Find the value of x, if the probability of selecting 2 Munch and 1 Dairy Milk is 17/36.

Question 4

In a bag there are 8 white and 12 green balls. If 2 balls are chosen randomly what is the probability of both of them either white or green.

Question 5

In a bag, there are 4 types of coins i.e. Rs. 1, Rs. 2, Rs. 5 and Rs. 10. Ratio of number of Rs. 5 to number of Rs. 10 coins in the bag is 2:3 and ratio of number of Rs. 2 to number of Rs. 5 coin is 4:3. Total number of coin in the bag is 30 and number of Rs. 1 coin is 7 . A man randomly draws 4 coins from the bag. What is the probability that out of four, two are Rs. 5 coin and one is Rs. 2 coin?

Question 6

Find the probability of getting a sum of five, when two unbiased dices are rolled?

Question 7

A card is drawn from a pack of 52 cards. What is the probability that the card drawn is a queen?

Question 8

Three coins are tossed. What is the probability of getting atleast two tails?

Question 9

A two-digit number is formed with the digits 2, 3, 5, 7, 9 without repetition of the digit. What is the probability that the number formed is 52?

Question 10

A box contains 3 black and 7 red balls. Two balls are drawn from the bag in succession without replacement. What is the probability that both the balls are red?
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Jun 15CAT & MBA