Question

If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs

Answer 1

Probabilities are used to determine the chances of events

The probability that event A occurs is 1/2

How to determine the probability of event A

From the question, we have the following highlights

• Both events A and B are mutually exclusive
• They are collectively exhaustive

The above means that, the sample space of the events is;

S = {A, B}

So, the sample size is:

n(S) =2

The probability is then calculated as:

$p = \frac{n(A)}{n(S)}$

This gives

$p = \frac{1}{2}$

Hence, the probability that event A occurs is 1/2

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