An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1. We may conclude that:None of the answer options are correct. events A and B are disjoint. either A or B always occurs. events A and B are independent.

Question

Mathematics

Kristina Banks

7 September, 15:32

An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1. We may conclude that:None of the answer options are correct. events A and B are disjoint. either A or B always occurs. events A and B are independent.

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Answers (1)

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Markus Jordan · Answer 1

either A or B always occurs.

Step-by-step explanation:

From the question;

The probability of Event A occurring is 0.5

The probability of Event B occurring is 0.6

The probability of Event A and Event B occurring is 0.1

Event A and Event B occurring means they both occur together, that is, the intersection of Event A and Event B

So, we can conclude that either Event A or Event B will always occur because none of the given Event has a probability of zero.

Also, finding their conditional probability yield a none zero value.

Probability that Event A occur given B is 1/6

Probability that Event B occur given A is 1/5