A can hit a target 3 times in 5 shots; b, 2 times in 5 shots; c, 3 times in 4 shots. they fire a volley. what is the probability that 2 shots hit?
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P(A) = 3/5 P(A') = 2/5 ( probability of A hitting and not hitting )
P(B) = 2/5 P(B') = 3/5
P(C) = 3/4 P(C') = 1/4
1. Exactly two of them hit
= P( A & B hits & C misses ) + P( A & C hits & B misses ) + P( B & C hits & A misses )
= 6/100+27/100+12/100
= 45/100
P(B) = 2/5 P(B') = 3/5
P(C) = 3/4 P(C') = 1/4
1. Exactly two of them hit
= P( A & B hits & C misses ) + P( A & C hits & B misses ) + P( B & C hits & A misses )
= 6/100+27/100+12/100
= 45/100
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