In a trial, the probability of success is twice the probability of failure. In six trial, the probability of atleast four successes will be

Step-by-step solution

Let the probability of success and failure be p and q, respectively Then, aligned p & =2 q p+q & =1 aligned and array ll & 3 q-1 & q= 1 3 & p= 2 3 array Required probability aligned & = ^6 C₄ ( 2 3 )^4 ( 1 3 )^2+ ^6 C₅ ( 2 3 )^5 ( 1 3 )+ ^6 C₆ ( 2 3 )^6 & = 496 729 aligned