Question

The probability that an event E occurs in one trial is 0.4, Three independent trials of the experiment are performed. What is the probability that E occurs at least once?

A. 0.784

B. 0.936

C. 0.964

D. None of these

Answer 1

The probability of occurrence of an event E in one trial is 0.4

Using Bernoulli’s Trial we have,

P(Success=x) \(=n_{C_x}.p^x.q^{(n-x)}\)

x = 0, 1, 2, ………n and q = (1 - p), n = 3

p = 0.4 , q = 0.6

The probability that E occurs at least once is,