On the spinner, the probability of landing on black is 1/2 , and the probability of landing on red is 1/3. Create a probability distribution for the experiment of spinning the spinner.

1)

2)

And for this case we have:

By the complement rule we can find the probability that the spinner land in a non black or red space:

And then the probability distribution would be:

Color      Red     Black    N

Prob.      1/3         1/2       1/6

Step-by-step explanation:

For this case we have two possible outcomes for the spinner experiment:

In order to have a probability distribution we need to satisfy two conditions:

1)

2)

And for this case we have:

By the complement rule we can find the probability that the spinner land in a non black or red space:

And then the probability distribution would be:

Color      Red     Black    N

Prob.      1/3         1/2       1/6

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17