Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success is

Step-by-step solution

Probability of getting a doublet in a single throw of two dice is p = 6 36 = 1 6 . Probability of not getting a doublet is q = 1 - 1 6 = 5 6 . The dice are thrown n = 4 times. Probability of getting at least one success is P(X 1) = 1 - P(X = 0) . P(X = 0) = ⁴C₀ p⁰ q⁴ = ( 5 6 )⁴ = 625 1296 . P(X 1) = 1 - 625 1296 = 671 1296 . Answer: 671 1296