Question

If the probability of winning a carnival game was 2/5 and Max played it five times, write an expression that would calculate the probability he won the first three games and lost the last two

Answer 1

Prob(winning carnival game) = 2/5 
Prob(losing carnival game) = 3/5 

Prob (Max wins first 3 games, but loses last 2 games) 

= Prob(Max wins game 1) * Prob(Max wins game 2) * Prob(Max wins game 3) * Prob(Max loses game 4) * Prob(Max loses game 5)