Question

cindy has two bags in the first bag there are 3 red balls and 7 green balls in the second bag there are 4 red balls and five green cindy takes at random a ball from the firstbag she then takes at random a ball from the second bag completethe probability tree diagram

Answer 1

Explanation:

There are a total of 10 balls in the first bag, so P(1 red) = 3/10 and P(1 green) = 7/10.

There are a total of 9 balls in the second bag, so P(2 red) = 4/9 and P(2 green) = 5/9.

P(1 red & 2 red) = 3/10 × 4/9 = 12/90 = 2/15

P(1 red & 2 green) = 3/10 × 5/9 = 15/90 = 1/6

P(1 green & 2 red) = 7/10 × 4/9 = 28/90 = 14/45

P(1 green & 2 green) = 7/10 × 5/9 = 35/90 = 7/18