Question

There are 3 red marbles, 2 green marbles, and 5 blue marbles in a bag. Which of the following are true? The probability of randomly drawing a red marble and then a green marble is . The probability of randomly drawing either a red marble or a green marble is . The probability of not drawing a blue marble is 50%. The probability of drawing a blue marble is the same as drawing either a red or a green marble.

Answer 1

1

9

3 red

2 blue

5 green

Total

3

+

2

+

5

=

10

Probability of blue is

2

10

~~~~~~~~~~~~~~~~~~~~~~~

Second condition:

3 red

1 blue

5 green

New total

3

+

1

+

5

=

9

Probability of green is

5

9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Total probability of selecting this path is:

2

10

×

5

9

=

2

9

×

5

10

=

2

9

×

1

2

=

1

9