5
lesson pretestMultiple Choice

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Question 5 • Algebra 2 with Probability

A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65 percent of the time. If this is true, what is the probability that a student who spins 4 pennies will have at least one land heads side up?

Answer
A
0 point 9 8 5 0
B
0 point 1 7 8 5
C
0 point 8 2 1 5
D
0 point 0 1 5 0

Explanation

It is easiest to use the opposite event: the only way to have no heads is for all 4 pennies to land tails. Assuming the spins are independent, that probability is 0.65⁴ = 0.17850625. So the probability of at least one heads is 1 − 0.17850625 = 0.82149375, or about 0.8215. This matches choice C, 0.8215.

AI-written and checked against the verified answer.

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