Question

There are 6 pieces of fruit in a basket, including 3 bananas.
What is the probability that a randomly selected piece of fruit will be a banana?
Write your answer as a fraction or whole number.
P(banana)=
question
key idea
solution



Questions
answered
5

Answer 1

To find the probability that a randomly selected piece of fruit will be a banana, we can use the formula for probability:

\[ P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}} \]

### Key Idea:
In this scenario, the favorable outcomes are the bananas in the basket, and the total outcomes are all the pieces of fruit in the basket.

### Given Data:
- Total pieces of fruit in the basket = 6
- Number of bananas = 3

### Solution:
Using the probability formula:

\[ P(\text{banana}) = \frac{\text{number of bananas}}{\text{total pieces of fruit}} = \frac{3}{6} \]

Now, simplify the fraction:

\[ P(\text{banana}) = \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \]

So, the probability that a randomly selected piece of fruit will be a banana is:

\[ P(\text{banana}) = \frac{1}{2} \]