What is the probability of picking an orange marble and flipping tails?

there are 7 marble, one of them is orange. and there is one coin next to them

a. 1/7

b. 8/14

c. 2/14

d. 1/14

D) 1/14

Work Shown:

There is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7. Let A = 1/7 which we'll use later.

The probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total. Let B = 1/2

Multiply A and B

A*B = (1/7)*(1/2) = (1*1)/(7*2) = 1/14

This represents the probability of getting an orange marble and flipping tails.

We are able to multiply the probabilities because the two events (picking a marble and flipping a coin) are independent.