Question

One die of red colour $(R)$, one of white $\mathrm{colour}(W)$ and one of blue colour $(B)$ are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Then, the sample space is

• A. $S=\left\{\begin{array}{cccccc}R1.& R2,& R3,& R4,& R5,& R6\\ W1,& W2.& W3,& W4,& W5,& W6\\ B1.& B2,& B3,& B4,& B5,& B6\end{array}\right\}$.
• B. $S=\left\{\begin{array}{cccccc}R1,& R2& R3,& R4,& R5& R6\\ W1,& W2,& W4,& W5& & \\ B1.& B3,& B4,& B5& B6& \end{array}\right\}$
• C. Both (a) and (b)
• D. None of the above

Answer 1

Answer: (A)

Let $R,W$ and $B$ denote the red, white and blue die respectively. When a die will be selected, then there will be possibilities for colour $R,B$ or $W$. But there will be 6 possibilities for 6 numbers ( 1 to 6 ) with each colour. So, the sample space is
$S=\left\{\begin{array}{cccccc}R1.& R2,& R3,& R4,& R5,& R6\\ W1,& W2.& W3,& W4,& W5,& W6\\ B1.& B2,& B3,& B4,& B5,& B6\end{array}\right\}$.