Question

A deck of cards is shuffled and then divided into two halves of 26 cards each. A card is drawn from one of the halves; it turns out to be an ace. The ace is then placed in the second half-deck. The half is then shuffled, and a card is drawn from it. Compute the probability that this drawn card is an ace.

Answer 1

Answer:

10/27.

Step-by-step explanation:

The first half  could have had, 1, 2, 3 or 4 aces in it.

If it had 1 ace then Prob( Ace on the second draw) = 4/27 or

If ...        2 aces   .............................................................. =  3/27 or

If.............3 aces  ............................................................... =  2/27  or

If..............4 aces ................................................................ = 1/27

Required probability = 1/27 + 2/27 + 3/27 + 4/27

= 10/27   answer.