Question

The fruit basket at a summer camp contained 4 oranges and 5 apples. Carlos chose

piece of fruit at random from the basket and gave the fruit to his friend Duncan. Then Carlos reached in again and chose another piece of fruit at random for himself. What is the probability that Duncan received an orange and that Carlos then received an apple? Express your answer in simplest form.

Answer 1

so the probablity is desired outcomes divided by total possible outcomes

so assume duncan gets an orange on the first try, that would be 4/9

then carlos picks another fruit, also assuming that duncan got an orange so 5/8

then these are dependant on each other so we multiply
4/9 times 5/8=20/72=10/36=5/18