2
QuizMultiple Choice

Relative Frequencies

Question 2 • AZ-Common Core Algebra II A

A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% 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
0.0150
B
0.1785
C
0.8215
D
0.9850

Explanation

The easiest way to find the chance of at least one heads is to subtract the chance of getting no heads from 1. No heads means all 4 pennies land tails, so the probability is 0.65 × 0.65 × 0.65 × 0.65 = 0.1785. Therefore, the probability of at least one heads is 1 − 0.1785 = 0.8215, choice C.

AI-written and checked against the verified answer.

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