Question

Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles. A person draws

one marble from each bag. Find the probability that both marbles are white.
2/5
3/5
9/14

Answer 1

`(2)/(5)`

Explanation:

Bag A:

White = 3

Total = 3 White + 2 Red = 5

Prob (white marble from A) =
`(3)/(5)`

Bag B:

White = 6

Total = 6 White + 3 Red = 9

Prob (white marble from B) =
`(6)/(9)`

Prob (white from Bag A and white from Bag B)

= Prob (white marble from A) x Prob (white marble from B)

=
`(3)/(5)` x
`(6)/(9)`

=
`(2)/(5)`