Question

You have a standard deck of 52 playing cards (13 of each suit). You draw a hand of the top 17 of them. Spades are one of the four suits. What is the expected value of the number of spades you draw?

Answer 1

The expected value of the number of spades are = 4.25

Explanation:

As per the question,

W know that in a standard deck of 52 playing card, there are 4 suits, and each suit have 13 playing card.

Since, we know that

`Probability\ of\ a \ event\ = (Number\ of\ Favorable\ Outcomes)/(Total\ Number\ of\ Possible\ Outcomes)`

Therefore,

Probability of any random card being a spade is

`=\ (13)/(52)`

`=\ (1)/(4)`

So the expected number of spades we draw are

`=\ (1)/(4) * 17`

`=\ 4.25`

Hence, the expected value of the number of spades are = 4.25