Question

A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a diamond?

a.1 2
b.3 51
c.1 16
d.13 204

Answer 1

Hello.

The probability that the first card is a heart and the second card is a diamond is 13/204.

There are 2 decks, each deck has 13 cards.

Multiply 13/52. and 13/51 and you get 13/204.

Hope it helps ;)

Answer 2

Total cards = 52
Number of heart = 13
Number of diamond = 13

p(heart followed by a diamond) = (13/52)(13/51) = 13/204

Answer : 13/204 (Answer D)