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) = [tex]\frac{18}{37}[/tex]
∵ There are 8 small white marbles
∵ There are 18 small marbles
∴ The number of small green marbles = 18 - 8 = 10
∴ P(s and g) = [tex]\frac{10}{37}[/tex]
∵ There are 9 large green marbles
∵ There are 10 small green marbles
∴ The number of green marbles = 9 + 10 = 19
∴ P(g) = [tex]\frac{19}{37}[/tex]
∵ P(small or green) = P(s) + P(g) - P(s and g)
∴ P(small or green) = [tex]\frac{18}{37}+\frac{19}{37}-\frac{10}{37}[/tex]
∴ P(small or green) = [tex]\frac{27}{37}[/tex] = 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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