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.

Answer 1

what is the probability the marble from bag A is white?

Answer 2

3/5

Answer 3

what about bag B...what is the prob of a white?

Answer 4

6/9=2/3

Answer 5

now multiply those two numbers

Answer 6

assuming the draws are independent.

Answer 7

2/3 * 3/5 = 6/15 = 2/5

Answer 8

yep

Answer 9

Oh okay! Well thank you:)

Answer 10

just so you see...

P(both marbles are white)=P(white from A and white from B)
=P(white from A)*P(white from B)=\(\displaystyle\frac{3}{5}\times\frac{6}{9}=\frac{2}{5}\)

Answer 11

Ohh, thanks again. Looking back I don't see why I didn't get this..