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2 years ago

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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 dra

ws another marble. What is the denominator of the simplified fraction that represents P(red then blue then green)?

2 answers:

Alex_Xolod [135]2 years ago

7 0

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

nexus9112 [7]2 years ago

4 0

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 :-

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

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