Question

A bag contains $10$ marbles of different colours. It contains $3$ marbles of Red color, $2$ marbles of Blue color and $5$ marbles of Green color. If Sam wishes to pick a marble from the bag, then form the sample space.

• A. $S=\{R,G,B\}$
• B. $S=\{R,R,R,B,B,G,G,G,G,G\}$
• C. $S=\{R,R,G,G,B,B\}$
• D. $S=\{R,R,R,B,B,B,G,G,G\}$

Answer 1

The correct option is B $S=\{R,R,R,B,B,G,G,G,G,G\}$

$3$ marbles of Red color can be represented as:
$R,R,R$
where $R$ stands for $1$ Red color marble.

$2$ marbles of Blue color can be represented as:
$B,B$
where $B$ stands for $1$ Blue color marble.

$5$ marbles of Green color can be represented as:
$G,G,G,G,G$
where $G$ stands for $1$ Green color marble.


If Sam wishes to pick a marble from the bag, then the sample space $S$ for $3$ red marbles, $2$ blue marbles and $5$ green marbles can be represented as:
$S=\{R,R,R,B,B,G,G,G,G,G\}$

Therefore, option (b.) is the correct answer.