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 red?

# 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 red?

1. A

2. B

3. C

4. D

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### 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 red marble.
Probability of an event E is defined as:
$P\left(E\right)=\frac{\mathit{Number of favorable outcomes}}{\mathit{Total number of possible outcomes}}$
There are 3 blue, 2 white, and 4 red marbles in the box, therefore, total number of marbles are:
Hence, the total number of possible outcomes is 9.
There are 4 red marbles, therefore, the number of favorable outcomes is 4.
Let   be the event that a red marble is drawn.
Now, the probability of getting a red marble is,

The probability of getting a red marble is  .
Therefore, option 4 is correct.

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