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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}​

Respuesta :

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}.

What is a sample space?

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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