Question

Allen and Blake are practicing archery. The probability that Allen hits a given target is ?, while the probability that Blake hits a given target is ?. Assume these probabilities are independent. Allen and Blake aim at a single target and fire at the same time. a) If the target was hit, what is the probability that it was hit by both Allen and Blake? b) If the target was hit, what is the probability that it was hit by Blake?

Name: allen and blake are practicing archery the probability that allen hits a given target is x while the probability that blake hits a given target is y assume these probabilities are independen 02041
Uploaded: 2022-05-13T05:16:04-08:00
Duration: 2 min 1 s
Channel: Prabhakar Kumar
Description: allen and blake are practicing archery the probability that allen hits a given target is x while the probability that blake hits a given target is y assume these probabilities are independen 02041

          Allen and Blake are practicing archery. The probability that
Allen hits a given target is ?, while the probability that
Blake hits a given target is ?. Assume these probabilities are
independent. Allen and Blake aim at a single target and fire at the
same time. a) If the target was hit, what is the probability that
it was hit by both Allen and Blake? b) If the target was hit, what
is the probability that it was hit by Blake?

Added by Luis Miguel P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Prabhakar Kumar

05/13/2022

Step 1

Given that the probability of Allen hitting the target is x and the probability of Blake hitting the target is y, and the events are independent, the probability that both Allen and Blake hit the target is the product of their individual probabilities: \[ P(A \cap Show more…

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Allen and Blake are practicing archery. The probability that Allen hits a given target is ?, while the probability that Blake hits a given target is ?. Assume these probabilities are independent. Allen and Blake aim at a single target and fire at the same time. a) If the target was hit, what is the probability that it was hit by both Allen and Blake? b) If the target was hit, what is the probability that it was hit by Blake?