SOLUTION: Hi! I need help with a probability question: You have three bags. Bag 1 contains two red balls and 5 green balls. Bag 2 contains 5 red balls and 3 green balls. Bag three cont

Question 435549: Hi!

I need help with a probability question: You have three bags. Bag 1 contains two red balls and 5 green balls. Bag 2 contains 5 red balls and 3 green balls. Bag three contains a red ball and a green ball. You roll a fair six sided die and pick a ball out of Bag 1 if the die lands on 1. You pick a ball out of Bag
2 if the die lands on 2, 3, or 4. You pick a ball out of Bag 3 if the die lands on 5 or 6. What is the probability that you pick a red ball?
Thank you for your help!
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Probability of a R ball from bag 1 is 2/7
Probability of a R ball from bag 2 is 5/8
Probability of a R ball from bag 3 is 1/2
(1/6 * 2/7)+(3/6 * 5/8)+(2/6 * 1/2)
=59/112 the probability that you pick a red ball.
.
Ed
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