A roulette wheel has38

38slots, numbered0,

0,00,

00,and1

1to36.

36.The slots0

0and00

00are colored green,18

18of the others are red, and18

18are black. The dealer spins the wheel and, at the same time, rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows. Gamblers can bet on various combinations of numbers andcolors.

A friend tells you that the odds that a bet on "red" will win are10

10to9.

9.What is the probability associated with these odds? Enter your answer to three decimalplaces.

probability