asked 90.9k views
1 vote
A bag contains 5 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?

asked
User Nasser
by
8.5k points

1 Answer

3 votes
Answer:
0.218

Explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/ Total outcome
If a bag contains 3 red marbles, 7 blue marbles and 5 green marbles, the total number of marbles in the bag will be the total outcome i.e 3+7+5 = 15
If two blue marbles are drawn, the expected outcome in both cases is 7 since there are 7 blue marbles in the bag.
Probability of drawing the first blue marble = 7/15
Probability of drawing the second blue marble = 7/15
Probability that both marbles drawn will be blue = 7/15*7/15
= 49/225
= 0.218 (to nearest 1000th)
answered
User Pavan Manjunath
by
8.4k points
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