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 Jiri hits it but Benita misses?

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Answer 1 · 2016-07-05T20:57:12

Probability is 0.14.

Disclaimer: It's been a long time since I have done stats, I hopefully shook the rust off here but hopefully someone will give me a double check.

Probability of Benita missing #= 1 - # Probability of Benita hitting.

#P_(Bmiss) = 1 - 0.8 = 0.2#

#P_(Jhit) = 0.7#

We want the intersection of these events.

As these events are independent we use the multiplication rule:

#P_(Bmiss) nnn P_(Jhit) = P_(Bmiss)*P_(Jhit) = 0.2*0.7 = 0.14#