Question

One card is selected from a deck of 52 cards and placed in a second, similar deck. A card is then drawn from the second deck. What is the probability that this card drawn from the second deck is an Ace?

Show your work using equations.

Answer 1

1/13

Explanation:

A1 = event that card selected from first deck is ace

A2 = event that card selected from second deck is ace

P(X=A1)= 4/52

P(X=A2) = to find we need to use baye theorem

P(X=A2 = P(A2/A1)P(A1) +P(A2/notA1) P(notA1)

= 5/53 ×4/52 +4/53×48/52

= 1/13