Question

Brandi rolls a fair Six-sided Number cube flips a fair coin, and then rolls the number cube again. Which outcome is part of sample space?

Answer 1

Answer:

Options aren't given but explanation and answer is below:

Step-by-step explanation:

First action/trial  -  Rolling a fair dice (6-sided number cube)

Second action      -  Flipping a fair coin

Third action        -   Rolling a fair dice

In this experiment, all the equipment are fair. What this means is that there is no bias; every face of each equipment has an equal chance of emerging tops.

In your options, you should have three values per option.

The first would be the number resulting from the first throw of dice.

The second would be head or tail; which are the only two faces of a coin.

The third would be the number resulting from the second throw of dice.

So ONE of those options will be a part of the sample space, which is enlisted below:

Trial A:  {1, 2, 3, 4, 5, 6}

Trial B:   {Head, Tail}

Trial C:   {1, 2, 3, 4, 5, 6}

* If there's an option like {9, Tail, 2} it will be wrong, because it has an element "9" which does not fall within the prescribed sample space.

* Also, if we follow the order in which Brandi conducted this experiment, an option like {Head, 6, 5} will be wrong, since the elements are wrongly placed.