The basket contains 30 apples, 20 pears, and 10 peaches. What is the probability that the first piece of fruit taken from the basket will be a peach?

There are a total of 30 + 20 + 10 = 60 pieces of fruit in the basket.

The probability of selecting a peach on the first try is:

10/60 = 1/6

Therefore, the probability that the first piece of fruit taken from the basket will be a peach is 1/6.

To find the probability of selecting a peach as the first piece of fruit, we need to calculate the ratio of the number of peaches to the total number of fruits in the basket.

Given:
Number of peaches = 10
Total number of fruits = 30 + 20 + 10 = 60

The probability of selecting a peach as the first piece of fruit is:
Probability = Number of peaches / Total number of fruits
Probability = 10 / 60
Probability = 1/6

So, the probability that the first piece of fruit taken from the basket will be a peach is 1/6.