Question

A bag contains $7$ black socks, $12$ white socks, and $17$ red socks. If you pick one sock at random from the bag, what is the probability that it will NOT be white?

• A. $\frac{1}{2}$
• B. $\frac{2}{3}$
• C. $\frac{3}{4}$
• D. $\frac{7}{12}$
• E. $\frac{7}{36}$

Answer 1

Answer: (B)

$\frac{2}{3}$

Total number of socks in bag=$7+12+17=36$
So total number of possible outcomes $=36$
The event socks is not white means that socks is either black or red,so the number of favorable outcomes will be
Number of black socks $+$ number of red socks $=7+17=24$.
Therefore, $P$(not white)=$\frac{24}{36}=\frac{2}{3}$