The probability of randomly selecting a yellow marble out of the bag is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
A bag contains:
- 7 red marbles
- 5 yellow marbles
- 6 blue marbles
- 4 green marbles
- 3 orange marbles
We need to find the probability of randomly selecting a yellow marble out of the bag
Probability is the ratio of number of favorable outcomes to the total number of possible outcomes P(A) = [tex]\frac{n(A)}{n(outcoms)}[/tex]
∵ A bag contains 7 red marbles, 5 yellow marbles, 6 blue
marbles, 4 green marbles, and 3 orange marbles
- Add all the color to find the number of total marbles
∴ n(all) = 7 + 5 + 6 + 4 + 3 = 25
∵ There are 5 yellow marbles
∵ P(yellow) = [tex]\frac{n(yellow)}{n(all)}[/tex]
∴ P(yellow) = [tex]\frac{5}{25}[/tex]
- Divide up and down by 5 to simplify the fraction
∴ P(yellow) = [tex]\frac{1}{5}[/tex]
The probability of randomly selecting a yellow marble out of the bag is [tex]\frac{1}{5}[/tex]
Learn more:
You can learn more about the probability in brainly.com/question/9178881
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