Question

Veronique has a spinner with three sections of equal size, red (r), green (g), and blue (b).the spinner is spun twice. the sample space for the possible outcomes is s = {rr, rb, rg, gr, gg, gb, br, bg, bb}. if the number of times red is spun is the random variable, x, which graph represents the probability distribution? a probability distribution has number of times on the x-axis and probability on the y-axis. the probability of 0 times is 0.43; 1 time is 0.43; 2 times is 0.1. a probability distribution has number of times on the x-axis and probability on the y-axis. the probability of 0 times is 0.33; 1 time is 0.33; 2 times is 0.33. a probability distribution has number of times on the x-axis and probability on the y-axis. the probability of 0 times is 0.55; 1 time is 0.32; 2 times is 0.11. a probability distribution has number of times on the x-axis and probability on the y-axis. the probability of 0 times is 0.5; 1 time is 0.38; 2 times is 0.12.

Answer 1

The correct option is the following one,

a probability distribution has number of times on the x-axis and probability on the y-axis. the probability of 0 times is 0.43; 1 time is 0.43; 2 times is 0.1

Explanation:

We calculate the probability of getting red zero, one or two times,

There are a total of 9 outcomes(9 elements in the sample space).

of these, red occurs 2 times only once i.e. rr

So, the probability of getting red 2 times is 1/9 = 0.1

Red occurs 1 time as rb, rg, gr, br i.e. 4 times

So the probability of getting 1 red is 4/9 = 0.44

Red occurs 0 times as gg, gb, bg, bb so 4 times.

The probability of getting 0 reds is 4/9 = 0.44

Hence the correct option is the first one i.e,

a probability distribution has number of times on the x-axis and probability on the y-axis. the probability of 0 times is 0.43; 1 time is 0.43; 2 times is 0.1