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?

Question

Hazel Anglin · Accepted Answer

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

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%#.

Kennedy Adams · Answer

undefined To determine the probability that both Jiri and Benita hit the target simultaneously, you multiply their individual probabilities of hitting the target.

Jiri's probability of hitting the target is 70%, or 0.70.
Benita's probability of hitting the target is 80%, or 0.80.

To find the probability that they both hit the target, multiply their individual probabilities:

0.70 * 0.80 = 0.56.

So, the probability that both Jiri and Benita hit the target simultaneously is 0.56, or 56%.