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11 months ago

If P(A)=0.9, P(B)=0.1, and A and B are independent, find P(A and B).

Mathematics

1 answer:

sweet [91]11 months ago

6 0

According to the given statement;

If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09

<h3>What is probability of event?</h3>

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other possible outcomes and the coin is fair, the odds of both the outcomes, "heads" and "tails," are equally likely to occur. As a result, the probability of either outcome is half.

<u>According to the given value;</u>

P(A) = 0.9

P(B) = 0.1

A and B independent;

We know that independent

P(A∩B) = P(A) · P(B)

= (0.9)*(0.1)

=0.09

P(A∩B) =0.09

hence, If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09

To more about probability of event, visit

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If ​P(A)=0.9​, ​P(B)​=0.1, and A and B are​ independent, find​ P(A and​ B).

If P(A)=0.9, P(B)=0.1, and A and B are independent, find P(A and B).