MATH SOLVE

5 months ago

Q:
# 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? mc016-1.jpg mc016-2.jpg mc016-3.jpg mc016-4.jpg Mark this and return

Accepted Solution

A:

The probabilities are as follows[tex]\rm P(X =0) = \dfrac{1}{8} ,\ P(X =1) = \dfrac{3}{8}, \ P(X =2) = \dfrac{3}{8} , \ P(X =3) = \dfrac{1}{8}[/tex]What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.A spinner has two equal sections one green and one orange. The spinner is spun three times, resulting in the sample space (S) will beS = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}. If the random variable X represents the number of times orange.X = 0, 1, 2, 3For X = 0, then the probability of not getting orange will be[tex]\rm P(X = 0) = \dfrac{1}{8}[/tex]For X = 1, then the probability of getting one orange only will be[tex]\rm P(X = 1) = \dfrac{3}{8}[/tex]For X = 2, then the probability of getting two oranges only will be[tex]\rm P(X = 2) = \dfrac{3}{8}[/tex]For X = 3, then the probability of getting oranges only will be[tex]\rm P(X = 3) = \dfrac{1}{8}[/tex]More about the probability link is given below.