Determine the Appropriate Probability Rule to Use
-64% of students at one college drink alcohol regularly, and 12% of those who drink alcohol regularly suffer from depression. What is the probability that a randomly selected student drinks alcohol regularly and suffers from depression
A) 0.0768
B) 0.76
C) 0.6832
D) 0.5632

Question

Quizplus · Accepted Answer

The correct rule to use is the multiplication rule for independent events, where the probability of two events happening together is the product of their individual probabilities. Here, the probability that a student drinks alcohol regularly is 0.64, and the probability that a student who drinks suffers from depression is 0.12. Multiplying these gives 0.64 * 0.12 = 0.0768.