Feb 18, 2005 23:14
Here's the deal. To go to state, we either have to:
a) beat Rainer Beach on Tuesday -OR-
b) beat the winner of the Seattle Prep/Issaquah game on Thursday.
Assuming the probability of beating each of these insanely crazy teams is ~30%, we can use the following function:
P(going to state)=P(a or b)
The addition rule states that to find the probability of a or b, the two probabilities must be added, and then the product of the two subtracted.
if a = .3 and if b = .3, then by addtion rule, p(a or b) = .3+.3-(.3x.3) = .6-.09 = 51%.
Since there is quite a bit of error in my estimates of the probability of beating these teams, we'll just call it 50-50.
There, our chances of going to state are 50%, QED.