Question

There are 12 peaches in a bananas in a fruit basket you get a snack for yourself and three of your friends by choosing four of the pieces of fruit at random .what is the probability that all four peaches ?

Answer 1

10.2% probability

Explanation:

12 peaches

8 bananas

Chance of getting a peach the first time is 12/20 the second time is 11/19, third 10/18, and fourth 9/17

11880/116280 = .1022 = 10.2% probability

Answer 2

10.2% chance

Explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

`(12)/(20) * (11)/(19) * (10)/(18) * (9)/(17)` =
`(11880)/(116,280)` = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.