The odds against a chess-master beating a computer are 11:5. What is the probability the at the chessmaster will win a match against the chessmaster?

Given:

The odds against a chess-master beating a computer are 11:5.

To find:

The probability the at the chessmaster will win a match against the computer?

Solution:

Let E be the event the chessmaster will win a match against the computer.

Odds against a chess-master beating a computer

The odds against a chess-master beating a computer are 11:5. So,

Let P(E') and P(E) are 11x and 5x respectively.

Now,

Probability the at the chessmaster will win a match against the computer P(E) is

Therefore, the required probability is .

a

step-by-step explanation:

a

a - base

b - exponent

so,