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

Answer 1

Solution:

As given , Spinner has two equal Sections, one green and one Orange.

When the Spinner is Spun three times

Total Sample Space  S=  {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}

Random variable X is Selected, which represents number of times orange O' is spun, which is given by

X=0,1,2,3

Probability of an event = $\frac{\text{Total favorable outcome}}{\text{Total Possible outcome}}$

X=0, Probability of Orange(O), in G G G = $\frac{1}{8}$

X=1, Probability of Orange(O), in G G O , GOG,and O G G, 3 in total =  $\frac{1}{8}$

X=2, Probability of Orange(O), in G O O , O GO,and O O G, 3 in total =   $\frac{1}{8}$

X=3, Probability of Orange(O), in O O O, 1 in all= $\frac{1}{8}$

Answer 2

B
Graph B is the correct graph.