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 Benita hits it but Jiri misses?

Answer 1

`P("Benita hits " & " Jiri misses")=24%`

Explanation:

Presumably the events are independent.

Therefore
`P("Benita hits " & " Jiri misses")`
`color(white)("XXX")=P("Benita hits") xx P("Jiri misses")`

`P("Jiri misses")= 100%-P("Jiri hits") = 30%`

`P("Benita hits " & " Jiri misses") = 80% xx 30% = 24%`