Probability 2 Question 15

15. A and B are two candidates seeking admission in IIT. The probability that A is selected is 0.5 and the probability that both A and B are selected is atmost 0.3 . Is it possible that the probability of B getting selected is 0.9?

(1982, 2M)

Pragraph Based Questions

There are five students S1,S2,S3,S4 and S5 in a music class and for them there are five seats R1,R2,R3,R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si,i=1,2,3,4,5. But, on the examination day, the five students are randomly allotted the five seats.

(There are two questions based on Paragraph, the question given below is one of them)

(2018 Adv.)

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Answer:

Correct Answer: 15. (c)

Solution:

  1. Given, P(A)=0.5 and P(AB)0.3

P(A)+P(B)P(AB)0.3P(B)0.3+P(AB)P(A)P(AB)0.2[ since, P(AB)1P(AB)0.20.8]P(B)0.8P(B) cannot be 0.9.



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