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A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If two marbles are

drawn out of the bag, what is the probability, to the nearest 100oth, that both
marbles drawn will be blue?

1 Answer

2 votes

Answer:

0.218

Explanation:

Probability is the likelihood of an event.

According to the word problem, of the 15 marbles, there are 7.

Since there are 7 blue marbles, the expected outcome of both events is 7.

The probability of the first blue marble is 7/15.

The probability of the second blue marble is 7/15.

To find the probability of both marbles being drawn, we must multiply both fractions.

Like this,

7/15 ⋅ 7/15 = 49/225.

49/225 in decimal form is 0.21777778

0.21777778 rounded to the nearest hundredth is 0.218.

Therefore, the probability of two blue marbles being drawn out of the bag is 0.218.

User Parvez Kazi
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