Question

5. A ja contains 11 green marbles, 7 red marbles, and 6 blue marbles. A marble is selected at random, not replaced, and then a second marble is selected. What is the probability ofselecting a blue marble followed by a green marble?

Answer 1

Answer: 11/92

Explanation:

Probability is expressed as

number of favorable outcomes/number of total outcomes

From the information given,

number of green marbles = 11

number of red marbles = 7

number of blue marbles = 6

Total number of marbles = 11 + 7 + 6 = 24

Probability of selecting a blue marble = 6/24 = 1/4

Since the marble is not replaced, total number of marbles left = 24 - 1 = 23

Probability of selecting a green marble = 11/23

The probability of selecting a blue marble followed by a green marble is

1/4 x 11/23

= 11/92