Two shooters fire one shot each, the probability of hitting the target for the first and second shooters

Two shooters fire one shot each, the probability of hitting the target for the first and second shooters is 0.7 and 0.2, respectively. then the probability that both arrows will get into the price?

In order to determine the probability that both arrows will hit the target, it is necessary to use the formula for multiplying the probabilities of independent events:

P (A) = P (A1 * A2) = P (A1) * P (A2),

Where P (A) is the probability of the event A of interest to us, that is, hitting the target by both shooters, P (A1) – the probability of hitting by the first shooter, P (A2) – the probability of being hit by the second shooter. In this way:

P (A) = P (A1 * A2) = 0.7 * 0.2 = 0.14.



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