Question

What is the probability that the first marble is blue and the second marble is yellow?

Answer 1

`(1)/(14)`

Explanation:

First time drawing:

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

`(2)/(8)` =
`(1)/(4)`

Second time drawing (with no replacement):

Total outcome is 7 (8 - 1 = 7)

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

`(2)/(7)`

The probability that the first marble is blue and the second marble is yellow is
`(1)/(4)` ×
`(2)/(7)` =
`(2)/(28)` =
`(1)/(14)`