Question

A coin is tossed 3 times. Let X be the number of Tails that you get in the 3 tosses, then X can take on how many values?

Answer 1

Solution:-

We have,

A coin tossed n=3 times,

Then, it will results in either Head (H) or Tail (T) with same probability p=0.5 each.

Let,. X: number of tails (T) gets in 3 tosses.

If coin tossed 3 times,then there are 8 possible outcomes are

{HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}

Where,. T: tail. H : head

That means,It results in,

Either, 0 tail or 1 tail or 2 tail or 3 tail.

Hence,

Random variable X can take 4 values as {0,1,2,3}

X = { 0,1,2,3 }