1 On a Roulette Wheel there are 18 red slots 18 black slots

1. On a Roulette Wheel, there are 18 red slots, 18 black slots, and 2 green slots. The red and black slots are numbered 1 to 36 and the green ones are 0 and 00. One bet you can make is “22” which is betting that you get the number “22” on the next roll. If you bet 1 chip on “22” and you win, they give you 35 new chips in addition to the one you bet. Let x be your winnings in chips.

Solution

x is winnings in chips

total possible outcomes=18+18+2=38

probability of winning 35 more chips=1/38

probability of loosing the 1 chip=37/38

so, possible chips winnings(or loosing) can be = x = (+35)(1/38) + (-1)(37/38) = -2/38 = -0.0526 chips