Question

You have been asked to flip a coin for heads or tails and then select a golf ball from a bucket that contains 2 yellow golf balls and 5 white golf balls. List the possible outcomes in the sample space. What is the probability you get tails and select a white golf​ ball?

Use Y and a number to represent a yellow golf ball and W and a number to represent a white golf ball. Which list below shows the sample​ space?
A.
​{HW1, HW2,​ HY1, HY2,​ HY3, HY4,​ HY5, TW1,​ TW2, TY1,​ TY2, TY3,​ TY4, TY5}
B.
​{HY1, HY2,​ HW1, HW2,​ HW3, HW4,​ HW5, TY1,​ TY2, TW1,​ TW2, TW3,​ TW4, TW5}
C.
​{HY, HW,​ TY, TW}

Answer 1

​{HY1, HY2,​ HW1, HW2,​ HW3, HW4,​ HW5, TY1,​ TY2, TW1,​ TW2, TW3,​ TW4, TW5}

The probability you get tails and select a white golf​ ball is 0.36

Explanation:

There are 2 yellow golf balls: Y1 and Y2

There are 5 white golf balls: W1, W2, W3, W4 and W5

Then, the sample space is: ​{HY1, HY2,​ HW1, HW2,​ HW3, HW4,​ HW5, TY1,​ TY2, TW1,​ TW2, TW3,​ TW4, TW5}

What is the probability you get tails and select a white golf​ ball?

desired outcomes {TW1,​ TW2, TW3,​ TW4, TW5}

number of desired outcomes: 5

number of possible outcomes: 14

probability: 5/14 = 0.36