Identify the probability distribution to answer the question

Identify the probability distribution to answer the question. You are the master in a game of whit\'s and glory. Your expertise gives you the probability of winning against your opponents .9, and also makes all your opponents independent and identically distributed. In a tournament you must play 12 times, and the individual with the fewest losses is the winner. Compute the probability that you lose two or less games.

Solution

probability of winning = 0.9

we have to calculate the that we lose two or less games which means winning losing 0,1,2 games

probability of losing = 0.1

P(X=0)= 10C0(0.1)^0(0.9)^10

P(X=1)= 10C1*(0.1)^1*(0.9)^9

P(X=2)= 10C2*(0.1)^2*(0.9)^8

ADD ALL U WILL GET THE ANSWER