Q. 24.3( 36 Votes )

Answer :

Given: A pack of 52 cards.

As we know there are 26 cards in total which are black. Let A and B denotes respectively the events that the first and second drawn cards are black.

Now, P(A) = P(black card in first draw) =

Because the second card is drawn without replacement so, now the total number of black card will be 25 and total cards will be 51. i.e. the conditional probability of B given that A has already occurred.

Now, P = P(black card in second draw) =

Thus the probability that both the cards are black:

⇒ P(A ∩ B) =

Hence, the probability that both the cards are black = .

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PREVIOUSIf P(A) = 3/5 and P (B) = 1/5, find P (A ∩ B) if A and B are independent events.NEXTA box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.

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