Probability

Probability Level 1

A box contains 4 blue, 6 yellow and 10 green marbles. If a marble is drawn, find the probability that it is either blue or yellow.

1 4 \frac14 1 2 \frac12 1 5 \frac15 1 3 \frac13

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A Former Brilliant Member by A Former Brilliant Member

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2 solutions

The probability that it is blue is 4 / 20 4/20 or 1 / 5 1/5 .

The probability that it is yellow is 6 / 20 6/20 or 3 / 10 3/10 .

The probability that it is either blue or yellow is 1 / 5 + 3 / 10 = 1 / 2 1/5 + 3/10 = 1/2

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There are a total of 4 + 6 + 10 = 20 4+6+10=20 marbles. So the probability that the ball drawn is blue or yellow is

P = 4 20 + 6 20 = 1 2 P=\dfrac{4}{20}+\dfrac{6}{20}=\dfrac{1}{2}

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