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There are 10 pieces of fruit in a fruit bowl. There are x bananas in the fruit bowl. All of the rest of the fruit are apples.

Sarah takes two pieces of fruit at random from the fruit bowl. Find an expression in terms of x. for the probability that Sarah takes one piece of each fruit. Give your answer in its simplest form.

Sagot :

The probability that Sarah takes one piece of each fruit is; (10x - x²)/100

Probability

We are given;

  • Number of fruits in the bowl = 10
  • Number of bananas = x

Thus, remaining fruits are;

  • Number of apples = 10 - x

Probability that at least one will be banana = x/10

Probability that at least one will be apple = (10 - x)/10

Thus;

Probability that she takes one piece of each fruit is;

x/10 × (10 - x)/10

⇒ x(10 - x)/100

⇒ (10x - x²)/100

Read more about probability at; https://brainly.com/question/251701

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