Question

On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz is 25%. Assuming these two events are independent, what is the probability that Nick oversleeps and has a pop quiz on the same day? 1) 73% 2) 36% 3) 23% 4) 12%

Answer 1

To find the combined probability of two independent events occurring simultaneously, such as Nick oversleeping and having a pop quiz, one should multiply their individual probabilities, resulting in a 12% chance of both events happening on the same day.

Step-by-step explanation:

The question presents two independent events: Nick oversleeping with a probability of 48%, and Nick having a pop quiz with a probability of 25%. To find the probability of both independent events happening simultaneously, we multiply the probabilities of each event.

The probability of both events occurring is:
(Probability of oversleeping) × (Probability of quiz) = 0.48 × 0.25 = 0.12 or 12%.

Therefore, the answer is 12%, which corresponds to option 4.