Question

Conduct an experiment of flipping a coin one time. How many outcomes are in the sample space? What is the sample space?

a. 2, {Head, Head}
b. 2, {Tail, Tail}
c. 2, {Head, Tail}
d. 1, {Head}

Why?

Answer 1

The sample space just consists of every possible result of your experiment.
What are the possible results of just flipping a coin one time?

Answer 2

A sample space is a collection of all possible outcomes of a random experiment. A random variable is a function defined on a sample space. We shall consider several examples shortly. Later on we shall introduce probability functions on the sample spaces. A sample space may be finite or infinite. Infinite sample spaces may be discrete or continuous.

Answer 3

the coin lands on either one or the other of its two sides. One is usually called head, the other tail. These are two possible outcomes of a toss of a coin. In the case of a single toss, the sample space has two elements that interchangeably, may be denoted as

{Head, Tail}

Answer 4

@BangkokGarrett 2?

Answer 5

Is it c. 2, {Head, Tail}? @HARSH123

Answer 6

ya

Answer 7

Yes.

A more complicated one would be
What is the sample space for the flipping of a coin 2 consecutive times.
For that the sample space would be
{ heads heads, heads tails, tails heads, tails tails}

Answer 8

Thank you very much guys! @BangkokGarrett @HARSH123 !! :D

Answer 9

ok my pleasure