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

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

Answer 2

Answer: $\frac{1}{32}$

Step-by-step 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 :-

$\text{ P(red then blue then green)}=\frac{1}{4}\times\frac{1}{4}\times\frac{2}{4}\\\\\Rightarrow\ \text{ P(red then blue then green)}=\frac{1}{32}$