what is the probability that you will won the games 5 times

what is the probability that you will won the games 5 times in a row?

Solution

Probability of winning the game = p (value not given)

Probability of losing the game = 1-p

P(won the games 5 times in a row) = P(winning the first game) * P(winning the second game) * P(winning the third game) * P(winning the fourth game) * P(winning the fifth game)

Reason: since winning the first game is independent of winning or losing the second game, hence we can mutiply the probabilities we get)

P(won the games 5 times in a row) = p^5 (substitute your value of p to get the final answer)