Question

A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 8 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or green? Express your answer as a fraction or a decimal number rounded to four decimal places

Answer 1

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = $\frac{18}{37}$

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = $\frac{10}{37}$

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = $\frac{19}{37}$

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = $\frac{18}{37}+\frac{19}{37}-\frac{10}{37}$

∴ P(small or green) = $\frac{27}{37}$ = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

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