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%

Step-by-step 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:

`(13)/(52)=(1)/(4)`

However, they are asking for two cards. Then:

`(1)/(4)\cdot(1)/(4)=(1)/(16)`

Expressing as a whole percent:

`(1)/(16)=0.0625`
`0.0625*100\%=6.25\%`