Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than 2". Let B be the event "the outcome is less than 5". Find P(A and B). Outcome Probability 1 0.13 2 0.09 3 0.01 4 0.49 5 0.28

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Table

Step 02:

Outcomes Probability

1 0.13

2 0.09

3 0.01

4 0.49

5 0.28

A

Outcome < 2

Independent events

p (A) = 0.13

B

Outcome < 5

Independent events

p (B) = 0.13 + 0.09 + 0.01 + 0.49 = 0.72

p( A and B) = 0.13 * 0.72 = 0.0936

The answer is:

p( A and B) = 0.0936