# A Box Contains 6 Red Marbles Numbered 1 Through 6 and 4 White Marbles Numbered from 12 Through 15. Find the Probability that a Marble Drawn is White . - Mathematics

A box contains 6 red marbles numbered 1 through 6 and 4 white marbles numbered from 12 through 15. Find the probability that a marble drawn is white .

#### Solution

Total number of marbles = (6 + 4) = 10
Let S be the sample space.
Then n(S) = number of ways of selecting one marble out of 10 = 10C1 = 10 ways

Let E1 = event of getting a white marble
∴ n(E1) = 4C1 = 4
Hence, required probability = $\frac{^{4}{}{C}_1}{^{10}{}{C}_1} = \frac{4}{10} = \frac{2}{5}$

Concept: Probability - Probability of 'Not', 'And' and 'Or' Events
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 37.1 | Page 47