Question

A basket contains five apples and five peaches. You randomly select on piece of fruit and eat it. Then you randomly select another piece of fruit. Find the probability that both pieces of fruit are apples. Round your answer to the nearest thousandth (three decimal places).

Answer 1

Therefore the probability that both pieces of fruit are apples is
`\frac29`.

Explanation:

Probability:

The ratio of the number of favorable outcomes to total number of outcomes.

Given that,

A basket contains 5 apples and 5 peaches.

Total number of fruits in the basket is=(5+5)=10

The probability that the fruits is an apple is

`=\frac{\textrm{Number of apples }}{\textrm{Number of total fruit}}`

`=(5)/(10)`

`=\frac12`

Now the number remains apples is =(5-1) =4

Total number of fruit is =(10-1)=9

The probability that the fruits is an apple is

`=\frac{\textrm{Number of apples }}{\textrm{Number of total fruit}}`

`=(4)/(9)`

Therefore the probability that both pieces of fruit are apples is

`=\frac12* \frac49`

`=\frac29`