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Answer :
Answer:
- 100 / 729
Explanation:
The general formula to calculate the probability of each event is:
- Probability = number of positive (desired) outcomes / number of total outcomes
Number of apples = 4
Number of peaches = 5
Number of fruits = 9
Since the three times you return the radomly selected fruit, and then mix it, the three times the probability is not affected by the previous selection; so, these are independent events, and you can calculate the probability of the joint event as the product of the probabilities of each individual event.
- First time:
Probability of getting an apple = number of apples / number of fruits = 4 / 9
- Second time:
Probability of getting a peach = number of peaches / number of fruits = 5 / 9
- Third time:
Probability of getting a peach = number of peaches / number of fruits = 5 /9
- Joint probability:
= (4/9) × (5/9) × (5/9) = (4 × 5 × 5) / (9 × 9 × 9) = 100 / 729
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