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2015 AMC 10A Problem 22

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2015 AMC 10A Problem 22AMC 10 Step by Step

Name: Date: September 13, 2026

Recursive Counting · difficulty 4 of 5 · about 6 min · position P21-25

Eight people are sitting around a circular table, each holding a fair coin. All eight people flip their coins and those who flip heads stand while those who flip tails remain seated. What is the probability that no two adjacent people will stand?

A)
$\dfrac{47}{256}$
B)
$\dfrac{3}{16}$
C)
$\dfrac{49}{256}$
D)
$\dfrac{25}{128}$
E)
$\dfrac{51}{256}$

2015 AMC 10A Problem 22

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