A and B two candidates seeking addmission 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 in 0.9 ?

Question

goformit100 · Answer

@oldrin.bataku

anonymous · Answer

The events that A gets selected or B gets selected are independent. Hence:$$\bf P(A \ and \ B) = P(A)P(B)=0.5P(B)$$Now the probability P(B) is atmost 0.3 hence:$$\bf 0<0.5P(B) \le 0.3 \implies 0 < P(B) \le 0.6$$Hence it is not possible that the probability of B getting selected is 0.9.

@goformit100

anonymous · Answer

Sorry I meant to say: "Now the probability of BOTH B and A getting selected is atmost 0.3 hence:"

Replace the second phrase with this.

goformit100 · Answer

Hey i got the answer|dw:1375594269738:dw|

Yu huuu

anonymous · Answer

the question asks for "is it possible that B has a 0.9 probability of getting selected. I don't see how that answers the question? lol..

goformit100 · Answer

Any ways Thanks bro.

anonymous · Answer

yw