A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S

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tlarson3724 tlarson3724

21-07-2022
Mathematics

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A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S

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ogorwyne ogorwyne · Answer 1 · 2022-07-29T23:21:26+02:00

The graph that is used to represent this probability distribution is the graph of b.

What is probability?

In mathematics and the field of statistics, the probability is used tp denote likelihood of an event occurring.

The sample space is given as

S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}.

X=0, the Probability of having Orange(O), in GGG is given to be 1/8

X=1, we have to get the probability, in G G O , GOG,and O G G, this gives a total of 3 = 3/8

X=2, Probability of Orange O, in GOO , OGO, oog = 3/8

X=3, Probability of Orange O in all is also given as 1. Hence the probability is = 1/8

Complete question

A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}. If the random variable X represents the number of times orange, O, is spun, which graph represents the probability distribution?