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?
Answer:
21 / 400
Step-by-step 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
Julio takes a multivitamin
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