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

6.37 %

Explanation:

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

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

Answer 2

6.37%

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) = (13)/(52)`

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

`P(Diamond | First card is Heart) = (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)`

`= (13)/(52)(13)/(51)`

`= 6.37`%