I need to know how to write out a problem for probability

Question

Nascar has ran 26 races in which Tony Stewart has won 3. There are ten races left. What are the odds that he will win anymore of them. I need to know how to write out the problem.

Answer 1

Problem:

If Stewart won 3 out of 26 races, what are the odds that he will win at least 1 of the next 10 races?

Solution:

The probability of Stewart winning any one race is 3/26

P(wins a race) = 3/26

P(loses a race) = 1 - 3/26

P(loses a race) = 23/26

P(wins at least 1 of the next 10 races) = 1 - P(loses all of the next 10 races)

P(wins at least 1 of the next 10 races) = 1 - (23/26)^10

P(wins at least 1 of the next 10 races) = 0.70654272497

Odds of winning at least 1 of the next 10 races are about 7 out of 10.