Question

Ellice has 5 different types of fruit: 3 apples, 4 oranges, 8 pears, 3 bananas, and 2 pineapples. if a piece of her fruit is chosen at random, then what is the probability that the total amount of that fruit will be 3?

Answer 1

The probability that a randomly chosen piece of fruit from Ellice's collection will have a total quantity of 3 is 30%.

Step-by-step explanation:

The student's question asks about the probability of selecting a piece of fruit at random from Ellice's collection when the total amount of that type of fruit is 3. We are given that Ellice has 5 different types of fruit: 3 apples, 4 oranges, 8 pears, 3 bananas, and 2 pineapples. The only fruit types with a total of 3 are apples and bananas. To find the probability, we need to consider the total number of fruits and the number of those fruits which have a quantity of 3.

First, let's add up the total number of fruits:
3 apples + 4 oranges + 8 pears + 3 bananas + 2 pineapples = 20 total pieces of fruit.

Now, the types of fruit with a quantity of 3 are apples and bananas, which means 3 apples + 3 bananas = 6 pieces of fruit.

Therefore, the probability that a randomly chosen piece of fruit will have a total quantity of 3 in the collection is the number of those fruits divided by the total number of pieces of fruit:
Probability = Number of fruits with quantity 3 / Total number of fruits = 6 / 20 = 0.3 or 30%.