Question

Amit tosses a fair coin twice, and let $X$ be defined as the number of heads he observe. Find the range of $X$, $R_x$.

• A. $0,1$
• B. $1,2$
• C. $0,1,2$
• D. None of these

Answer 1

Answer: (C)

$0,1,2$

Amit tosses two coins.

Therefore $S=\{HH.HT.TH,TT\}$

Let $X$ be defined as number of heads he observe.

We have to find the range of $X$, $R_x$.

From the sample space listed above we see the heads appear $2,1,1,0$ that is $0,1,2$ times.

Thus $R_x=\{0,1,2\}$