Given P(A) = 0.6 and P(B) = 0.4, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.1, compute P(A and B).

Question

Given P(A) = 0.6 and P(B) = 0.4, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.1, compute P(A and B).
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

(a) If A and B are independent events, the probability of both events occurring is the product of the probabilities of each event. This is expressed as P(A and B) = P(A) * P(B). Substituting the given values:

P(A and B) = 0.6 * 0.4 = 0.24

(b) If P(A | B) is given, this represents the probability o Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Given P(A) = 0.6 and P(B) = 0.4, do the following.(a) If A and B are independent events, compute P(A and B). (b) If P(A | B) = 0.1, compute P(A and B).

Given P(A) = 0.6 and P(B) = 0.4, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.1, compute P(A and B).

Given P(A) = 0.9 and P(B) = 0.3, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.6, compute P(A and B).

Given P(A) = 0.4, P(B) = 0.5, P(A | B) = 0.3, do the following.(a) Compute P(A and B).(b) Compute P(A or B).

Let A and B be two events, P(A) = 0.4, P(B) = 0.6, P(A∩B) = 0.2，Find:P(A|B)(Please keep four decimal places

1/3