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

Answer 1

Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards.  There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

$P(Hearts) = \frac{13}{52}$

Now, the probabily that the second card is a diamond is:

$P(Diamond | First card is Heart) = \frac{13}{51}$

The Probability that the first card is a heart and the second one a diamond is given by:

$P(Hearts)$×$P(Diamond | First card is Heart)$

$= \frac{13}{52}\frac{13}{51}$

$= 6.37$%

Answer 2

Answer:

6.37 %

Step-by-step explanation:

First card is 13/52 , the second card is 13/51.

So the probability is (13/52 × 13/51) = 6.37 %