The P ( A ) = 0.5 and the P ( B ) = 0.24 . Events A and B are mutually exclusive. What is the P ( A and B ) . The P ( A ) = 0.5 and the P ( B ) = 0.24 . Events A and B are mutually exclusive. What is the P ( A and B )

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than 3". Let B be the event "the outcome is less than 4". Find P(A or B). Outcome Probability 1 0.38 2 0.13 0.3 4 0.14 5 0.05

Use the table to find the probabilities. Show your reasoning. A.) P(A) B.) P(B) C.) P(A and B) D.) P(A|B)

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is prime". Let B be the event "the outcome is less than 3". Find P(A|B). Outcome Probability 1 0.286 0.114 3 0.159 4 0.379 0.062

Please show full solution and explanation. Thanks

The probability of A is 0.60, the probability of B is 0.45, and the probability of both is 0.30. What is the conditional probability of A, given B? Are A and B independent in a probability sense?

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 4". Let B be the event "the outcome is divisible by 2". Find P(A|B). Outcome Probability 1 0.1 2 0.2 3 0.5 4 0.2

Please help! I have no clue how to fill out this chart!

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 1". Let B be the event "the outcome is a divisor of 3". Find P(A|B). Outcome Probability 1 0.2 0.5 0.3

A college finds that 8% of students have taken a distance learning class and that 20% of students are part-time students. Of the part-time students, 20% have taken a distance learning class. Let D = event that a student takes a distance learning class and E = event that a student is a part-time student. Part (a) Find P(D AND E).  Part (b) Find P(E | D).  Part (c) Find P(D OR E).   Part (e) Are D and E mutually exclusive? Explain. The events are not mutually exclusive because  P(D AND E) ≠ 0. The events are not mutually exclusive, which means they can be added together, and the sum is not 0.2.    The events are mutually exclusive because they are independent.The events are mutually exclusive because  P(D AND E) = 0.