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If both fire their cannons at the same time, what is the probability that the captain hits the pirate ship, but the pirate misses?

a) 3/5
b) 2/5
c) 1/5
d) 2/15

User Magicgregz
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8.9k points

1 Answer

4 votes

Final answer:

The probability that the captain hits the pirate ship but the pirate misses is 2/9.

Step-by-step explanation:

To find the probability that the captain hits the pirate ship but the pirate misses, we need to consider the individual probabilities of each event. Let's assume that the probability of the captain hitting the pirate ship is P(C) and the probability of the pirate missing is P(P).

The probability of the captain hitting the pirate ship can be represented as a fraction: P(C) = 1/3.

The probability of the pirate missing can also be represented as a fraction: P(P) = 2/3.

To find the probability that the captain hits the pirate ship but the pirate misses, we multiply the probabilities of each event: P(C and P) = P(C) * P(P) = (1/3) * (2/3) = 2/9.

User TechAurelian
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8.1k points
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