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(C) Let $H$ denote a head and $T$ denote a tail. $A$ head gives $+2$ points and a tail gives $-1$ point. When three coins are tossed,the possible outc

Vedclass · Accepted Answer

$\{-3, 0, 3, 6\}$

Vedclass · Answer

(C) Let $H$ denote a head and $T$ denote a tail. $A$ head gives $+2$ points and a tail gives $-1$ point. When three coins are tossed,the possible outcomes for the number of heads $(H)$ and tails $(T)$ are:$1$. Three tails $(0H, 3T)$: Score $= 0(2) + 3(-1) = -3$.$2$. Two tails and one head $(1H, 2T)$: Score $= 1(2) + 2(-1) = 2 - 2 = 0$.$3$. One tail and two heads $(2H, 1T)$: Score $= 2(2) + 1(-1) = 4 - 1 = 3$.$4$. Three heads $(3H, 0T)$: Score $= 3(2) + 0(-1) = 6$.Therefore,the range of the total score $X$ is $\{-3, 0, 3, 6\}$.

$A$ person who tosses an unbiased coin gains two points for turning up a head and loses one point for a tail. If three coins are tossed and the total score $X$ is observed,then the range of $X$ is

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