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Max attempts three free throws during a basketball game. Identify the sample space (the correct list of possible outcomes) for his results.

S = success, F = fail

The notation SFS means he succeeded on the first try, missed on the second try, and succeeded on the third try.

A. {SSSS, SFSF, FFFF}

B. {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}

C. {SS, FF, SF, FS)

D. SSS, SFS, FFF}​

Answer:

B

Step-by-step explanation:

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The correct option is B, {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}.

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space can also be described as the collection of all potential outcomes of a random experiment. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.

Given that Max attempts three free throws during a basketball game. And in each attempt, he can be either successful represented by S and Fail represented by F.

Since there are only 2 outcomes, therefore, the number of outcomes that are possible for three trials are,

Number of outcomes = 2³ = 8

Hence, the only option that has 8 outcomes is  {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}.

Learn more about Sample Space:

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