Question

A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?

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

{HTT, HHT, TTH, THH, THT, HTH}

{HHH, TTT, HTT, THH, THT}

{HH, TT, HT, TH}

Don't tell me the number i wanted the choices above!

Answer 1

That would be the first  choice.

Answer 2

The sample space is S={HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}

Explanation:

Given that a coin is flipped three times.

H represents heads, and T represents tails.

we have to find the sample space.

The sample space contains
`2^n=2^3=8` elements.

As three times the coin is flipped.

∴ The possible outcomes i.e the sample space is

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

The first choice is correct option.