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There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing of the pieces of fruit at random. 1)What is the probability that all 4 are peaches! 2)what is the probability that all 4 are bananas?

1 Answer

6 votes

Answer:

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.

User Nimphious
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