Question

Events A and B are mutually exclusive. Suppose event A occurs with probability 0.23 and event B occurs with probability 0.21.

Answer 1

Using it's concept, the probabilities for this problem are given as follows:

a) A occurs and B does not: 0.1817 = 18.17%.

b) Either occurs: 0.3434 = 34.34%.

What is a probability?

A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.

In the context of this problem, we have two mutually exclusive events, meaning that they cannot happen together.

For item a, we have that:

• The probability of A occurring is 0.23.

• The probability of B not occurring is of 1 - 0.21 = 0.79.

The events are mutually exclusive, hence we can multiply the probabilities as follows:

p = 0.23 x 0.79 = 0.1817 = 18.17%.

For item b, we add the probability in item with the probability of B occurring and A not, found as follows:

• The probability of B occurring is 0.21.

• The probability of A not occurring is of 1 - 0.23 = 0.77.

Hence:

p = 0.1817 + 0.21 x 0.77 = 0.3434 = 34.34%.

More can be learned about probabilities at brainly.com/question/14398287

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