## Probability Quiz-8

Probability is an important topic in JEE advanced examination. In this exam, probability carries weightage of 7% of questions. With focused practice good marks can be fetched from this topic .

Q1. Five different games are to be distributed among 4 children randomly. The probability that each child get atleast one game is:
•  1/4
•  15/64
•  21/64
•  None of these
Solution

Q2.Let A be a set containing n elemnts. A subset P of the set A is chosen at random. The set A is reconstructed by replacing the elements of P, and another subset Q of A is chosen at random. The probability that P∩Q contains exactly m(m<n) elements is:
•  3(n-m)/4n
•   ncm×3m/4n
•  ncm×3n-m/44
•  None of these
Solution

Q3.  A bag has 10 balls. Six balls are drawn in an attempt and replaced. Then another draw of 5 balls is made from the bag. The probability that exactly two balls are common to both the draw is:
•  5/21
•  2/21
•  7/21
•  3/21
Solution

Q4. If any four numbers are selected and they are multiplied, then the probability that the last digit will be 1, 3, 5 or 7 is:
•  4/625
•  18/625
•  16/625
•  None of these
Solution

Q5. An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is:
•  2,4 or 8
•  3,6 or 9
•  4 or 8
•  5 or 10
Solution

Q6. The probability that in a family of 5 members, exactly two members have birthday on Sunday is :
•  (12×53 ) 75
•  (10×62 ) 75
• 2/5
•  (10×63 ) 75
Solution

Q7. A man has 3 pairs of block socks and 2 pairs of brown socks kept together in a box. If he dressed hurriedly in the dark, the probability that after he has put on a block sock, he will, then put on another black sock is:
•  1/3
•  2/3
•  3/5
•  2/15
Solution

Q8. A three-digit number is selected at random from the set of all three-digit numbers. The probability that the number selected has all the three digits same is:
•  1/9
•  1/10
•  1/50
•  1/100
Solution

Q9. A fair die is rolled. The probability that the first time 1 occurs at the even throw is:
•  1/6
•  5/11
•  6/11
•  5/36
Solution

Q10. The probability that an automobile will be stolen and found within one week is 0.0006. The probability that an automobile will be stolen is 0.0015. The probability that a stolen automobile will be found in one week is:
•  0.3
•  0.4
•  0.5
• 0.6
Solution

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