Question

you deal one friend a card at random. Then you deal a second friend a card at random. What is the possibility that both friends got diamonds?

Answer 1

0.0588

Explanation:

There are 52 cards total in a pack of cards.

There are 13 diamond cards in a pack of card

When the first card is dealt, it is NOT replaced. When the second card is dealt, it is NOT replaced

In probability:

AND = multiplication

OR = addition

Probability =
`(Total number of diamond cards)/(Total number of cards)`

Probability that both friends for diamonds:

First card is DIAMONDS AND second card is DIAMONDS:

=
`(13)/(52)`×
`(12)/(51)`

=
`(156)/(2652)`

= 0.0588 (Rounded off to 3 significant figures)