The probability that two hunters P and Q hit their targets are 2/3 and 3/4 respectively.
The two hunters aim at a target together; a. what is the probability that they both miss the target? b. If the target is hit, what is the probability that
i. only hunter P hits it?
ii. only one of them hits it?
iii. both hunters hit the target?
Answers
Step-by-step explanation:
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Concept
The simple definition of probability in mathematics states that the chance that a given event will occur or the ratio of number of favourable outcomes divided by total number of outcomes.
Given
1) Probability that P hit the target is 2/3
2) Probability that Q hit the target is 3/4
Find
a. what is the probability that they both miss the target?
b. If the target is hit, what is the probability that
i. only hunter P hits it?
ii. only one of them hits it?
iii. both hunters hit the target?
Solution
a) Probability both will miss the target
P(both miss) = P( P bar) * P( Q bar)
= 1/3 * ¼
= 1/12
b)
i) only P hits
= 2/3 * 1/4
= 2/12
= 1/6
ii) Q hits
= 3/4 * 1/3
= 1/4
iii) Both hits
= 2/3 * ¾
= ½
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