The probability that a man failing to hit a target is 1 3 If he fires 4 times, then the probability that he hits the target at least thrice is

Step-by-step solution

q = P ( failing to hit a target )= 1 3 P =1- 1 3 = 2 3 and n=4 P (hits the target at least thrice) aligned & = P (x 3)= P (x=3)+ P (x=4) & = ^4 C ₃ ( 2 3 )^3 ( 1 3 )^1+ ^4 C ₄ ( 2 3 )^4 & =4 ( 2 3 )^3 ( 1 3 )+ ( 2 3 )^4 & = ( 2 3 )^3 [ 4 3 + 2 3 ]= 8 27 2= 16 27 aligned