Question

Julio takes a multivitamin and a calcium vitamin every day. One at a time, he randomly

pulled 8 cherry, 5 grape, and 7 orange gummy vitamins out of the multivitamin container
and put them back each time. He also randomly pulled 11 berry, 3 lemon, and 6 pineapple
gummy vitamins out of the calcium container and put them back each time.
Based on this information, what is the probability that Julio will select an orange
multivitamin and a lemon calcium vitamin the next time he takes his vitamins?
Enter your answer in the box.

Answer 1

21 / 400

Explanation:

Given 8 cherry, 5 grape, and 7 orange gummy vitamins out of the multivitamin container.

The probability that Julio will select an orange multivitamin is

7 ÷ 8 + 5 + 7 = 7/20

Also, given 11 berry, 3 lemon, and 6 pineapple gummy vitamins out of the calcium container

The probability that Julio will select a lemon calcium is

3 ÷ 11 + 3 + 6 = 3/20

Therefore, since the event of selecting are independent of each other

probability that Julio will select an orange multivitamin and a lemon calcium vitamin is

7/20 × 3/20

= 21 / 400