Question

A bag contains 15 red, 18 white, 12 blue and 16 black marbles. If a marble is drawn at random from the bag, then the probability of getting a black marble is

• A. $\frac{15}{61}$
• B. $\frac{18}{61}$
• C. $\frac{16}{61}$
• D. $\frac{12}{15}$

Answer 1

The correct option is C $\frac{16}{61}$

Given that the bag contains 15 red, 18 white, 12 blue and 16 black marbles.
$\therefore \text{Total number of marbles in the bag}=15+18+12+16$
= 61
$\therefore \text{P(getting a black marble)}=\frac{\text{Number of black marbles}}{\text{Total number of marbles}}$
$=\frac{16}{61}$
Hence, the correct answer is option (c).