Home
Class 11
MATHS
If A and B are two candidates seeking ad...

If A and B are two candidates seeking admission in an engineering college. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.7 ?

Text Solution

Verified by Experts

`"Here,"" "P(A)=0.5,P(AcapB)le0.3`
`"Now,"" "P(A)xxP(B)le0.3`
`rArr" "0.5xxP(B)le0.3`
`rArr" "P(B)le0.6`
Hence, it is false statement.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Fillers|5 Videos

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Matching The Columns|2 Videos

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Objective Type Questions|12 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|5 Videos

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise True /False|5 Videos

Similar Questions

Explore conceptually related problems

A and B are two candidates seeking admission in ITT.The probability that A is selected is 0.5 and the probability that A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9?

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

A and B are two candidates seeking admission in IIT. The probability that A is selected is 0.5 and the probability that A selected is 0.6 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 ?

A and B are two candidates seeking admission in a college.The probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6. Find the probability that B is selected.

are two candidates seeking admission in I.I.T. The probability that P is selected is 0.5 and the probability that both are selected is at most 0.3. Prove that the probability of being selected is at most 0.8

A and B are two candidates seeking admission in I.I.T. The probability that both A and B selected is at most 0.3 .If the probability of A's selection is 0.5 ,then the probability of B's selection if A and B are independent is

A and B are two candidates seeking admission in I.I.T.T.The probability that both A and B are selected is at most 0.4 ) If the probability of Al'sselection is 0.5, then the probability of Bl'sselection if A and B are independent is