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A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be blue?

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13

29

815

49

answer is A.

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Detailed Solution

Given that a box contains 3 blue, 2 white, and 4 red marbles.
We need to find the probability that if a marble is drawn at random, it is a blue marble.
Probability of an event E is defined as:

P (E) = \frac{Number of favorable outcomes}{Total number of possible outcomes}

There are 3 blue, 2 white, and 4 red marbles in the box, therefore, total number of marbles are:

3 + 2 + 4 = 9

Hence, the total number of possible outcomes is 9.
There are 3 blue marbles, therefore, the number of favorable outcomes is 3.
Let

B

be the event that a blue marble is drawn.
Now, the probability of getting a blue marble is,

P B = 39 ⇒ P (B) = 13

The probability of getting a blue marble is

13

.
Therefore, option 1 is correct.

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