Question

Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green. She draws 1 marble out of the bag, replaces it, and then draws another marble. What is the denominator of the simplified fraction that represents P(red then blue then green)?

Answer 1

Answer:
`(1)/(32)`

Explanation:

Given: Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green.

She draws 1 marble out of the bag, replaces it, and then draws another marble, it means all the three events are independent.

Also we know that probability of any event =
`\frac{\text{favorable outcomes}}{\text{Total outcomes}}`

therefore, the probability of drawing a red then blue then green marble is given by :-

`\text{ P(red then blue then green)}=(1)/(4)*(1)/(4)*(2)/(4)\\\\\Rightarrow\ \text{ P(red then blue then green)}=(1)/(32)`

Answer 2

1/4 for red

1/4 for blue

2/4 ( 1/2) for green

1/4 * 1/4 * 1/2 = 1/32

the denominator is the bottom number so it is 32