a spinner is divided into two equal parts, one red and one blue. the set of possible outcomes when the…

a spinner is divided into two equal parts, one red and one blue. the set of possible outcomes when the spinner is spun twice is s = {rr, rb, br, bb}. let x represent the number of times blue occurs. which of the following is the probability distribution, p_x(x)?

a spinner is divided into two equal parts, one red and one blue. the set of possible outcomes when the spinner is spun twice is s = {rr, rb, br, bb}. let x represent the number of times blue occurs. which of the following is the probability distribution, p_x(x)?

Answer

Explanation:

Step1: Calculate P(X = 0)

The outcome where blue occurs 0 times is RR. There are 4 total possible outcomes (RR, RB, BR, BB), so $P(X = 0)=\frac{1}{4}=0.25$.

Step2: Calculate P(X = 1)

The outcomes where blue occurs 1 time are RB and BR. So there are 2 such outcomes. Then $P(X = 1)=\frac{2}{4}=0.5$.

Step3: Calculate P(X = 2)

The outcome where blue occurs 2 times is BB. So $P(X = 2)=\frac{1}{4}=0.25$.

Answer:

X Px(x)
0 0.25
1 0.5
2 0.25