Question

Anil is taking part in four competitions. If the probability of him winning any competition is 0.30, find the probability of him winning at least one competition.

Answer 1

Answer:

Probability of winning atleast one competition is 0.7599

Explanation:

Binomial distribution is used in experiments where they are only two outcomes. In a binomial experiment, for x number of successes in n trials, can be given as: P(x) = n¦(x )  Cp^x q ^n-x

where p is the probability of success and q is the probability of failure

Probability of winning at least one competition will be the counterpart of the probability of winning not a single competition.

P(X=0) = 4¦(0 )  C (0.3)^0 x (0.7) ^4

                = 1×1×0.2401=0.2401

Probability of winning at least one competition = 1−P(X=0)=1−0.2401=0.7599