Question

A basket contains six apples and five peaches. Three times, you randomly select a piece of fruit, return it to the basket, and then mix the fruit. All three times, the fruit is an apple. Find the probability of this occuring.

Answer 1

There are 6 apples and 5 peaches in a basket.
We randomly select a piece of fruit ( it is always an apple ) then return it to the basket and do the same ( 3 times ).
All three times the probability is : 6 / 11 ( 6 favorable incomes / 11 possible incomes ).
P = 6/11 * 6/11 *6/11 = 216 / 1,331 = 0.1623 = 16.23%
Answer: The probability is 16.23%.