Four persons can hit a target correctly with probabilities 1 2 , 1 3 , 1 4 and 1 8 respectively. If all hit at the target independently, then the probability that the target would be hit, is

Step-by-step solution

P ( target is hit ) = 1 – P ( no one hit the target ) = 1 - 1 - 1 2 · 1 - 1 4 · 1 - 1 3 · 1 - 1 8 = 1 - 1 2 · 3 4 · 2 3 · 7 8 = 1 - 7 32 = 25 32 . Thus, the required probability is 25 32 .