Answer:
100/729
Step-by-step explanation:
The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.
P(Apple is selected) = number of apples / number of fruits= 4/9.
P(Peach is selected) = number of peaches / number of fruits= 5/9.
If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.
Therefore, the correct answer is 100/729!!!
The probability of the event occurring is p = 0.159
We assume that each fruit has the same probability of being randomly picked.
Now, there are 4 apples and 5 peaches (for a total of 9 fruits).
The first time that you randomly select a fruit you get an apple, the probability of this is given by the quotient between the number of apples and the total number of fruit on the basket, this is:
P = 4/9
The next time you get a peach, the probability is computed in the same way, but now there are 8 fruits on the basket (and 5 peaches) so we have:
Q = 5/8
The last time you also get a peach, and this time there are 4 peaches and 7 frits in total, so the probability is:
K = 4/7
Then the joint probability (the probability of these 3 events happening) is the product of the individual probabilities:
probability = (4/9)*(5/8)*(4/7) = 0.159
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
