Question

there are two boxes one box contains 6 red and 3 yellow balls. the other box contains 2 blue, and 3 green marbles. if one ball from each box is randomly drawn, what is the probability that a red and blue ball will be drawn?

Answer 1

`(2)/(15)`

Explanation:

1. There are 9 balls in total in the first box, and 6 red balls in there so we would represent this as
`(6)/(9)` and that can be simplified to
`(1)/(3)` .

2. There are 5 balls in total in the second box, and 2 blue balls in there, so we would represent this as
`(2)/(5)` . This can't be simplified, so we leave it like that.

3. Because it's a consecutive event we multiply the probabilities, which gives us
`(2)/(15)` . This can't be simplified, and that gives us our answer.