Respuesta :
Answer:
Therefore the probability that both pieces of fruit are apples is [tex]\frac29[/tex].
Step-by-step 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
[tex]=\frac{\textrm{Number of apples }}{\textrm{Number of total fruit}}[/tex]
[tex]=\frac{5}{10}[/tex]
[tex]=\frac12[/tex]
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
[tex]=\frac{\textrm{Number of apples }}{\textrm{Number of total fruit}}[/tex]
[tex]=\frac{4}{9}[/tex]
Therefore the probability that both pieces of fruit are apples is
[tex]=\frac12\times \frac49[/tex]
[tex]=\frac29[/tex]
