Question

PROBLEM SOLVING Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades

Answer 1

`(1)/(16)`

Explanation:

We will start by calculating the probability of drawing a spade from one deck, and then square it since we need to get the chance of getting two spades. We know there are 13 spades in a deck, out of 52 cards, giving us:

`(13)/(52)`

Which can be simplified to :

`(1)/(4)`

Then, we will square this fraction since we need two spades in a row:

`(1)/(4) * (1)/(4) = (1)/(16)`

So the probability is
`(1)/(16)`.

Hope this helped!