Probability

A race track tote board has the odds for a horse listed as 5 to 3. Tote boards list the odds that a horse will lose the race. If this is the case, what is the probability of the horse winning the race?

In a certain lottery, 3 numbers between 1 and 9 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

Consider a bowl containing 36 different slips of paper. Ten of the slips of paper each contain one of the digits from the set of 0 through 9 and 26 slips each contain one of the 26 letters of the alphabet. If one slip is drawn at random, what is P(odd number and a vowel)?

What is the probabilty of throwing a sum of 15 on three rolls of a fair die if the first roll is 4?

Chose a point at random in a square with sides 0<x<1 and 0<y<1. Let X be the x coordinate and Y be the why coordinate of the point chosen. Find the conditional probability P(y<1/2 / y>x).