Question

Which of the following represents the sample space for flipping two coins?

A
{HH, TT}

B
{H, T}

C
{HH, HT, TH, TT}

D
{HH, HT, TT}

Answer 1

C. { HH, HT , TH, TT}

Explanation:

Sample Space of any event E is the set of all possible outcomes whenever that event takes place.

Here, event E : Tossing 2 coins

Now, as we know, when an unbiased coin is tossed,

The total outcomes = {Head, Tail}

So, when two coins are flipped, the total outcomes are 2 x 2 = 4.

Sample space = { Head Head, Head Tail, Tail Head, Tail Tail}

or, S = { HH, HT , TH, TT}