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

Answer:

The expected value of the number of spades are = 4.25

Step-by-step 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

$Probability\ of\ a \ event\ = \frac{Number\ of\ Favorable\ Outcomes}{Total\ Number\ of\ Possible\ Outcomes}$

Therefore,

Probability of any random card being a spade is

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

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

So the expected number of spades we draw are

$=\ \frac{1}{4} \times 17$

$=\ 4.25$

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