Q18 of 249 Page 31

If A and B are independent events such that P(A) = p, p(B) = 2p and P (Exactly one of A and B occurs) = 5/9, find the value of p.

Given P(A)=p and P(B)=2p

P(exactly one of A and B occurs)= P(A)P(+P(P(B)





⇒27p-36p2 -5=0


⇒36p2 -27p+5=0


⇒36p2 -12p-15p+5=0


⇒12p(3p-1)-5(3p-1)=0


⇒ (12p-5)(3p-1)=0


⇒12p-5=0



also, 3p-1=0



value of


More from this chapter

All 249 →
16

If A, B and C are independent events such that P(A) = P(B) = P(C) = p, then find the probability of occurrence of at least two of A, B and C.

 17

If A and B are independent events then write expression for P (exactly one of A, B occurs).

 1

Mark the correct alternative in each of the following:

If one ball is drawn at random from each of three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, then the probability that 2 white and 1 black balls will be drawn is


 2

Mark the correct alternative in each of the following:

A and B draw two cards each, one after another, from a pack of well-shuffled pack of 52 cards. The probability that all the four cards drawn are of the same suit is