Probability of winning the division title Football Odds and

Probability of winning the division title!

Football Odds and probability, Please provide me with a clear detailed answer. Team 1:6-0 Team 2: 4-2 Team 3: 2-4 Team 4: 1-5 Independent play and with no Interplay, what is the probability of each team winning the division? ( Remmeber this football league has 16 games. with 6 games played already. Thank you

Solution

Given that football league has 16 games with 6 games playe already.

That means there are only 10 games left.

P(winning 1st team) = team 1 / total number of games left

P(winning 1st team) = 1/10

Similarly P(winning 2nd team) = team 2 / total number of games left

P(winning 2nd team) = 1/10

similarly P(winning 3rd team) = 1/10

P(each team winning the division) = P(winning 1st team) * P(winning 2nd team) * P(winning 3rd team)

P(winning 1st team) = (1/10)*(1/10)*(1/10) = 0.1*0.1*0.1 = 0.001