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You have seven cards, numbered 3 through 9, and you pick one at random. If you pick a card with a prime number, you get 1 point; if you pick a card with a composite number, you lose 1 point. Find the expected value of the number of points you get.

Respuesta :

Answer:

He has [tex]\frac{-1}{7}[/tex] number of points

Step-by-step explanation:

We have given that numbers from 3 to 9

So numbers will be 3,4,5,6,7,8,9

Here prime numbers are 3,5,7

And composite numbers are 4,6,8,9

So probability of getting prime number = [tex]\frac{3}{7}[/tex]

And probability of getting composite number [tex]=\frac{4}{7}[/tex]

It is given that if he gets prime number then he get 1 point and if he get composite number then he loss 1 point '

So value of number of point he has = [tex]1\times \frac{3}{7}-1\times \frac{4}{7}=\frac{-1}{7}[/tex]

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