Question

Two marksmen fire at a target simultaneously. Jiri hits the target 70% of the time and Benita hits the target 80% of the time. How do you determine the probability that they both hit the target?

Answer 1

Multiply the probabilities to find the probability that they both hit the target is `56%`.

Explanation:

These are `2` independent events: they do not affect one another.

When two events, `"A"` and `"B"`, are independent, the probability of both occurring is:

`P("A and B")=P("A")*P("B")`

Note that `70%=0.7` and `80%=0.8`, so

`P("A and B")=0.8*0.7=0.56`

Which is equivalent to `56%`.