Question

A gumball machine has different flavors sour apple,grape,orange and cherry . There are six of each flavor. $.50 are put in the machine two random gumballs come out. What is the probability of getting two grape

Answer 1

30/552

Explanation:

In order to solve this problem you need to multiply the probability of getting grape for the first gumball with the probability of getting grape for the second gumball. Since there are 6 grape gumballs and a total of 24 gumballs (6*4). Then the probability of getting grape for the firs one is

`(6)/(24)`

Now there are only 5 grape gumballs available and one less in the total supply, therefore the probability of getting grape in the second try is

`(5)/(23)`

Finally we multiply them together to find the probability of getting two grapes in a row.

`(6*5)/(24*23)` =
`(30)/(552)`