Three students A, B, C shoot at a target, each one shoots one shot. The probability of hitting the target is 0.8, respectively; 0.7; 0.6 What is the probability that the beer hits two balls?

Question

02-06-2024
Mathematics

High School

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Three students A, B, C shoot at a target, each one shoots one shot. The probability of hitting the target is 0.8, respectively; 0.7; 0.6 What is the probability that the beer hits two balls?

Answer :

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monaturk monaturk · Answer 1 · 2023-10-22T10:10:03-04:00

Final answer:

The probability of exactly two students (out of A, B, and C) hitting their targets is calculated by considering three different scenarios and using the multiplication rule of probability for each. The results are added to get the final probability.

Explanation:

The question is asking to find the probability that exactly two of the students (A, B, and C) hit their targets. To solve this, we need to consider three scenarios: A and B hit the target, B and C hit the target, and A and C hit the target. Using the multiplication rule of probability for each scenario and then adding the results, we can arrive at our answer.

For example, the probability of A and B both hitting the target and C missing is given by 0.8*0.7*(1-0.6). Similarly, we calculate for the other two scenarios. Eventually, we sum all three results to calculate the final probability.

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