Question

A bag contains 3 white balls, 4 green balls and 5 red balls. Three balls are drawn from the bag without replacement. Use a tree diagram to find the probability that the balls are all the same color. (3/44)

Answer 1

Step-by-step explanation:

Either all are whites

P=

12

3

×

11

2

×

10

1

=

220

1

Either all are red

P=

12

5

×

11

4

×

10

3

=

22

1

Either all are green

P=

12

4

×

11

3

×

10

2

=

55

1

Hence the required probability is

=

220

1

+

22

1

+

55

1

=

220

11

+

220

4

=

220

15

=

44

3

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