Probability Question, which game would you play?

Question

1.which would you prefer to play,

a game with odds of 3:4 against winning or a game of odds of 2:3 in

favor of winning ?

explain using probabilities.

Answer 1

Probability to win in first game P₁ = 4/(3 + 4) = 4/7

Probability to win in 2nd game P₂ = 2/(2 + 3) = 2/5

4/7 = 20/35 > 14/35 = 2/5.

So I will pay 1st game because more chance to win