Each of six randomly selected cola drinkers is given a glass containing cola S and one containing cola F. The glasses are identical in appearance except for a code on the bottom to identify the cola. Suppose there is actually no tendency among cola drinkers to prefer one cola to the other. Let X denote the number among the six who prefer S. 1 Calculate P(X = 3). What is the probability that at least three prefer S? ● What is the probability that at most one prefer S? 2

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Each of six randomly selected cola drinkers is given a glass containing cola
S and one containing cola F. The glasses are identical in appearance except
for a code on the bottom to identify the cola. Suppose there is actually no
tendency among cola drinkers to prefer one cola to the other. Let X
denote the number among the six who prefer S.
1 Calculate P(X = 3).
What is the probability that at least three prefer S?
● What is the probability that at most one prefer S?
2
Transcribed Image Text:Each of six randomly selected cola drinkers is given a glass containing cola S and one containing cola F. The glasses are identical in appearance except for a code on the bottom to identify the cola. Suppose there is actually no tendency among cola drinkers to prefer one cola to the other. Let X denote the number among the six who prefer S. 1 Calculate P(X = 3). What is the probability that at least three prefer S? ● What is the probability that at most one prefer S? 2
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