Question

Determine whether the event is independent or dependent. Then find the probability.

There are 6 green, 2 red, 2 brown, 4 navy, and 2 purple marbles in a hat. Sadie picks 2 marbles from the hat without replacement. What is the probability that the first marble is brown and the second marble is not purple?

Answer 1

Dependent

18.46%

Explanation:

All possible combinations for Sadie taking two marbles out from the hat:

`(6+2+2+4+2)×[(6+2+2+4+2)-1]`

`= 16 * 15`

`= 240`

All the possible combinations that the first marble is brown and the second marble is not purple:

`2 * (6 + 2 + 1 + 4)`

`= 2 * 13`

`= 26`

The probability:

`(240)/(26) * 100\%`

`= (240)/(13) * 50\%`

`= (1200)/(13) \%`

`≈18.46%`