Fruit bowl

[PAB2706]

When one piece of fruit is taken randomly from a fruit bowl, what is the chance that it is apple?

1) There are half as many apples as oranges in the bowl.

2) A third of the fruit in the fruit bowl are oranges.

[bluementor]

Statement 1: half as many apples as oranges in the bowl.

but we don't know if bowl has only apples and oranges? perhaps a third type of fruit? Insufficient.

Statement 2: No info on apples. Insufficient.

Both statements together:

-a third of the fruits are oranges
-apples are half as many as oranges

so if T = total number of fruits, then:

number of oranges = T/3
number of apples = (1/2)(T/3) = T/6

so, Prob(Apple) = number of apples / total = (T/6)/T = 1/6.

Sufficient.

Choose C.

-BM-