Question

The probability that event A occurs is 57 and the probability that event B occurs is 23 . If A and B are independent events, what is the probability that A and B both occur? Write your result in the empty box provided below in the simplest fraction form.

Answer 1

`(1)/(1311)`

Explanation:

The probability of occurring the event A is
`(1)/(57)`.

The probability to occur the event B is
`(1)/(23)`.

It is also given that the events are independent that is they do not depends on each other.

So, the probability of occurring both the events simultaneously can be get by simply multiplying the probabilities of both the events.

Hence, the probability is
}[/tex] =
`(1)/(1311)`.