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
[tex]Probability\ of\ a \ event\ = \frac{Number\ of\ Favorable\ Outcomes}{Total\ Number\ of\ Possible\ Outcomes}[/tex]
Therefore,
Probability of any random card being a spade is
[tex]=\ \frac{13}{52}[/tex]
[tex]=\ \frac{1}{4}[/tex]
So the expected number of spades we draw are
[tex]=\ \frac{1}{4} \times 17[/tex]
[tex]=\ 4.25[/tex]
Hence, the expected value of the number of spades are = 4.25
