Question

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math. No guessing please.

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 below as a fraction.​

Answer 1

Answer: 21/400

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Work Shown:

A = probability of pulling out a orange multivitamin

A = (7 orange)/(8 cherry + 5 grape + 7 orange)

A = 7/(8+5+7)

A = 7/20

B = probability of pulling out a lemon calcium vitamin

B = (3 lemon)/(11 berry + 3 lemon + 6 pineapple)

B = 3/(11+3+6)

B = 3/20

A*B = probability both events A and B occur simultaneously

A*B = (7/20)*(3/20)

A*B = (7*3)/(20*20)

A*B = 21/400