Answer:
p(large or green) = 0.794
Explanation:
- A box contains 18 large marbles and 16 small marbles
- Each marble is either green or white
- 7 of the large marbles are green, and 7 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(large) ⇒ P(l)
2.Find P(green) ⇒ P(g)
3. Find P(large and green) ⇒ P(l and g)
4. Use the rule P(large or green) = P(l) + P(g) - P(l and g)
∵ The box contains 18 large marbles and 16 small marbles
∴ The total number of marbles = 18 + 16 = 34
∴ P(l) = 18/34
∵ There are 7 large green marbles
∵ There are 18 large marbles
∴ P(l and g) = 7/34
- 7 large green marbles
- 9 small green marbles
- number of green marbles = 7+9 = 16
∴ P(g) = 16/34
∵ P(large or green) = P(l) + P(g) - P(l and g)
∴ P(large or green) = 18/34 + 16/34 - 7/34
∴ P(large or green) = 27/34
= 0.7941176471
If a marble is randomly selected from the box, then the probability that it is large or green is 0.794