Answer:
The expected value is $38.46.
Step-by-step explanation:
The probability of drawing a 10 from any suit is 4/52. Multiply this by the earnings which is 500:
your equation should look like this:
4/52(500) = 2000/52 = 38.46
C. $38.46
The probability that you'll get a 10 from a suit is 4/52 because there are 4 10's in each suit and 52 cards in total. If you multiply 4/52 by 500 (because you get 500 for drawing a 10), then you get 38.46 by simplifying the following equation:
Common factor from the two pairs
n2+2n-n-2 or
n(n+2)-1(n+2)
Rewrote in factored form
n(n+2)-1(n+2)or
(n-1)(n+2)
Solution
C. 1/64
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