Question

One basket contains 5 apples and 2 oranges and a second basket contains 4 apples and 3 oranges. If a fruit is taken from one of the two baskets at random, what is the probability that it is an orange?

Answer 1

For the first basket:

$${2 \over 5+2} = {2 \over 7}$$

For the second basket:

$${3 \over 3+4} = {3 \over 7}$$

Eventually:

$${2 \over 7} + {3 \over 7} = {5 \over 14}$$