Bryce has 10 bals in a bag, each having a distinct color. He randomly picks a ball from the bag 4 times, with replacement. The e
xpected number of distinct colors among the 4 balls Bryce picks can be expressed as a simplified fraction p q . Find p q.
1 answer:
Answer:
p = 1 ; q = 10,000
Step-by-step explanation:
Number of distinct colored balls = 10
Number of balls picked with replacement = 4
Probability = (number of required outcome / number of total possible outcomes)
Distinct picks :
P(1st) = 1 /10
P(2nd) = 1/10
P(3rd) = 1/10
P(4th) = 1/10
Expected Numbe of distinct color:
P(1st) * P(2nd) * P(3rd) * P(4th)
1/10 * 1/10 * 1/10 * 1/10
= 1/10000
p/q = 1/ 10000
p = 1 ; q = 10,000
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