Four persons can hit a target correctly with probabilities 1 2 , 1 3 , 1 4 and 1 8 respectively. If all hit…

Four persons can hit a target correctly with probabilities 12,13,14 and 18 respectively. If all hit at the target independently, then the probability that the target would be hit, is
  1. 25192
  2. 732
  3. 1192
  4. 2532

Solution

P(target is hit)=1–P(no one hit the target)

=1-1-12·1-14·1-13·1-18

=1-12·34·23·78

=1-732=2532.

Thus, the required probability is 2532.

Asked in: JEE Main 2019 (09 Apr Shift 1)

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