Question

I need a full explanation Two drugs are drawn from a cabinet with a replacement. There are 10 bottles of ibuprofen, 15 bottles of acetaminophen and 5 bottles of Tylenol with codeine. What is the probability of drawing a bottle of ibuprofen and then a bottle of acetaminophen?

Answer 1

Based on the question, there are a total of 10 + 15 + 5 = 30 medicine bottles.

Since this is a drawing with replacement, the probability of drawing a bottle of ibufropen is 10/30 or 1/3.

The probability of drawing a bottle of acetaminophen is 15/30 or 1/2.

Hence, the probability of drawing a bottle of ibufropen and acetaminophen is 1/6:

`P=(1)/(3)*(1)/(2)=(1)/(6)`