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 5 green balls

Cindy takes at random a ball from the first bag

She then takes at random a ball from the second bag

a) Complete the probability tree diagram

first bag

second bag

red

10

red

green

b) What is the probability that

Cindy takes two balls of the

same colour?

10

90

red

green

(2)

10

green

green

(2)

Total marks: 4

Bubmit Answer

Question

Mathematics

Rocco Gillespie

13 August, 22:17

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 5 green balls

Cindy takes at random a ball from the first bag

She then takes at random a ball from the second bag

a) Complete the probability tree diagram

first bag

second bag

red

10

red

green

b) What is the probability that

Cindy takes two balls of the

same colour?

10

90

red

green

(2)

10

green

green

(2)

Total marks: 4

Bubmit Answer

+3

Answers (1)

Know the Answer?

Kade Bruce · Answer 1

Step-by-step 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 = 2/15P (1 red & 2 green) = 3/10 * 5/9 = 15/90 = 1/6P (1 green & 2 red) = 7/10 * 4/9 = 28/90 = 14/45P (1 green & 2 green) = 7/10 * 5/9 = 35/90 = 7/18

I hope you understand it!