Question

Suppose you have a bag containing the following tiles. Replace the first tile before you choose again. Determine each probability. Express your answer as a fraction in lowest terms.

Answer 1

P (A and A) =
`(2)/(9) * (2)/(9)` =
`(4)/(81)`

P (A and B and C) =
`(2)/(9) * (3)/(9) * (4)/(9)` =
`(8)/(243)`

P (B) =
`(3)/(9)`

P (C) =
`(4)/(9)`

Explanation:

The word AND means multiplying the probabilities of getting each outcome. And since we are replacing tiles each time we draw one, the denominator, or the number of total possible outcomes, remains 9 throughout.