Question

When being dealt two cards from a standard deck of fifty-two playing cards. What is the probability that both cards are a diamond. Express your answer as a whole percent.

Answer 1

Answer: 6.25%

Explanation

Given

• 52 playing cards

,

• both cards are a diamond

Procedure

There are 13 cards of diamonds in a standard deck of cards. Thus our probability of getting one diamond is:

$\frac{13}{52}=\frac{1}{4}$

However, they are asking for two cards. Then:

$\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}$

Expressing as a whole percent:

$\frac{1}{16}=0.0625$$0.0625\times100\%=6.25\%$