Question

16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest

are pink. Abby takes out two pink marbles without replacing them. What is the

probability that the next marble he draws will be blue?


A. 10/21

B. 4/21

C. 2/7

D. 6/23

Answer 1

C. 2/7

Explanation:

When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:

Probability of Next Marble to be blue

= Blue Marble / Total Marbles in the bag

= 6 / 21

= 2 / 7

Hence, the correct option is C. 2/7