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tiny-mole [99]
1 year ago
8

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]1 year 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

brainly.com/question/17089724

#SPJ9

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