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

Step-by-step solution

Since it is given that for tossing a coin, if head will come down it will give two point and for tail comes down it loose one point. There are four cases arise Case (i) If all three tails comes out, then his points =-1-1-1=-3 . Case (ii) If two tails and one head comes out, then his points =-1-1+2=0 . Case (iii) If one tail and two heads comes out, then his points =-1+2+2=3 . Case (iv) If all three heads comes out, then his points =2+2+2=6 Range = -3,0,3,6