1.

25. The probability of A hitting a target isthe probability of B hitting the target is - and theprobability of C missing the target isWhat is the probability of the target being hit at leasttwice.

Answer»

P (A hits) = 4/5P (A not hits) = 1 - 4/5 = 1/5

P (B hits) = 3/4P (B not hits) = 1 - 3/4 = 1/4

P (C not hits) = 1/3P (C hits) = 1 - 1/3 = 2/3

Probability target hit at least twice =P(A hits)*P(B hits)*P(C not hits) + P(A hits)*P(B not hits)*P(C hits) + P(A not hits)*P(B hits)*P(C hits) + P(A hits)*P(B hits)*P(C hits)

= 4/5*3/4*1/3 + 4/5*1/4*2/3 + 1/5*3/4*2/3 + 4/5*3/4*2/3

= 12/60 + 8/60 + 6/60 + 24/60

= (20 + 30)/60

= 50/60

= 5/6


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