Suppose A and B are independent events. If P(A)= 0.4 and P(B) = 0.85, what is P(A and B)?

Mathematics

1 answer:

dmitriy555 [2]2 years ago

4 0

The value of the P(A∩B) is equal to 0.04.

We have given that,

P(A)= 0.4 and P(B) = 0.85.

We have to determine the P(A and B)

<h3>What is the formula for Independent Events?</h3>

For Independent Events,

P(A) × P(B) = P(A∩B)

so we have, P(A∩B) = 0.4×0.1

P(A∩B) = 0.04

P(A') = 1 - 0.4 = 0.6

This information can be represented on a Venn diagram as shown below

P(A'∪B) means the union of everything that is not A with everything that is B

P(A'∪B) = 0.06 + 0.54 + 0.04

P(A'∪B) = 0.64

To learn more about the events visit:

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