kajan repeatedly rolled a die and he was getting frustrated that he could not roll his favourite number, which is three. what is the probability that the first three occurred on the tenth roll?
0.0323 0.0269 0.323 mc009-1.jpg

The number of trials = 10
Probability of success (getting a 3) is p = 1/6
Probability of failure (not getting a 3) is q = 1 - 1/6 = 5/6

The probability of one success after 10 trials is given by the binomial distribution as
₁₀C₁ p¹ q⁽¹⁰⁻¹⁾ = 10*(1/6)*(5/6)⁹ = 0.323

0.323