Question

Hussain has $5red$, $3blue$ and $2green$ socks. If a sock is drawn at random, what is the probability that the sock is:

• A. $P\left(Red\right)=\frac{1}{2}$
  $P\left(Blue\right)=\frac{1}{10}$
  $P\left(Green\right)=\frac{1}{5}$
• B. $P\left(Red\right)=\frac{1}{2}$
  $P\left(Blue\right)=\frac{1}{5}$
  $P\left(Green\right)=\frac{1}{10}$
• C. $P\left(Red\right)=\frac{1}{2}$
  $P\left(Blue\right)=\frac{3}{10}$
  $P\left(Green\right)=\frac{1}{5}$

Answer 1

The correct option is C $P\left(Red\right)=\frac{1}{2}$

$P\left(Blue\right)=\frac{3}{10}$
$P\left(Green\right)=\frac{1}{5}$
Number of Red socks $=5$

Number of Blue socks $=3$

Number of Green socks $=2$

Total number of socks $=5+3+2=10$

Hence,
$P\left(Red\right)=\frac{5}{10}=\frac{1}{2}$

$P\left(Blue\right)=\frac{3}{10}$

$P\left(Green\right)=\frac{2}{10}=\frac{1}{5}$