Question

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.

Answer 1

Answer:

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