Question

If a certain event has a 38% chance of occurring, and a 12% chance of occurring within 2 minutes, what is the overall probability of the event happening within 2 minutes?

A) 12%
B) 26%
C) 38%
D) 50%

Answer 1

To find the overall probability of the event happening within 2 minutes, multiply the probabilities of the event occurring and occurring within 2 minutes.

Step-by-step explanation:

To find the overall probability of the event happening within 2 minutes, we need to find the intersection of two events.

et A be the event of occurrence within 2 minutes and B be the event of occurrence.

We are given that P(B) = 0.38 and P(A) = 0.12.

To find the overall probability, we use the formula P(A and B) = P(A) * P(B|A).

Since A and B are independent events, P(B|A) = P(B).

Therefore, P(A and B) = P(A) * P(B).

Substituting the given values, we have P(A and B) = 0.12 * 0.38 = 0.0456 = 4.56%