1. A and B try to hit a target. The probability that A hits the target is 7/10 and the probability that B hits
the target is 4/10 .if these two events are independent, the probability that B hits the target, given that
the target is hit,is
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Answer:
Step-by-step explanation:
A HIT THE TARGET=7/10
B HIT THE TARGET=4/10
A NOT HIT THE TARGET=3/10
B NOT HIT THE TARGET=6/10
PROBABILITY OF NOT HITTING =3/10*6/10=18/100
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Probability of A hit the target = 4/10;
Probability of B hit the target = 7/10;
The probability hitting the target only once = P(A)[1-P(B)] * P(B)[1- P(A)]
= 4/10{4}{10} (1-\frac{7}{10} ) + \frac{7}{10}(1-\frac{4}{10} )\\;
= \frac{4}{10}*\frac{3}{10} + \frac{7}{10}*\frac{3}{10};
The probability hitting the target only once = \frac{33}{100};
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