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? - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
$13$
B
$29$
C
$815$
D
$49$

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 (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 4 red marbles, therefore, the number of favorable outcomes is 4.
Let

R

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

P R = 49

The probability of getting a red marble is

49

.
Therefore, option 4 is correct.

Solution:

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