109k views
0 votes
A bag contains 7 red marbles, 2 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be blue?A bag contains 7 red marbles, 2 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be blue?

2 Answers

2 votes

Final answer:

The probability of drawing two blue marbles from the bag is 0.0714, or approximately 7.1%.

Step-by-step explanation:

To find the probability of drawing two blue marbles, we first need to find the total number of marbles in the bag.

The bag contains 7 red marbles, 2 blue marbles, and 5 green marbles, so the total number of marbles is 14.

Next, we need to find the number of ways to draw 2 blue marbles from the bag.

There are 2 blue marbles in the bag, so the number of ways to draw 2 blue marbles is C(2, 2) = 1.

Finally, we can calculate the probability by dividing the number of ways to draw 2 blue marbles by the total number of marbles in the bag:

Probability = (number of ways to draw 2 blue marbles) / (total number of marbles) = 1 / 14 = 0.0714.

User Gowrath
by
7.6k points
3 votes

Answer:

1.2%

Step-by-step explanation:

List all the possible pairs and divide 1 by the sum.

Since there were 86 possible pairs,

1/86 is nearly equal to o.o12

User Yodan Tauber
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.