Question

A roulette wheel has 18 red slots, 18 black slots and 2 green slots. Suppose I bet on red and you bet on black, both on the same spin of the wheel. a) What is the probability that we both lose

Answer 1

Probability that we both lose =
`(1)/(19)`

Explanation:

If I bet on red and you bet on black, we both lose the bet means roulette wheel stops at green slot.

So, probability that we both lose = Probability of getting green slot on the wheel

Probability of getting the green slot =
`\frac{\text{Number of green slots}}{\text{Total number of slot on the wheel}}`

=
`(2)/(18+18+2)`

=
`(2)/(38)`

=
`(1)/(19)`

Therefore, probability that we both lose =
`(1)/(19)`