Question

Which table correctly shows all the sample spaces for tossing a coin and rolling an even number on a six-sided number cube?

Answer 1

Answer:

Option C is correct.

Step-by-step explanation:

We are given that,

The table shows the sample space for events occurring after tossing a coin and then rolling an even number on the 6-sided cube.

Now, we know that,

The possible outcomes of tossing a coin = {Heads, Tails}

The possible outcomes of rolling an even number on 6-sided cube = {2,4,6}

Thus, the sample space for the occurrence of the events is,

Coin                   Number Cube                Outcome

Heads                         2                              Heads, 2

Heads                         4                              Heads, 4

Heads                         6                              Heads, 6

Tails                            2                                Tails, 2

Tails                            4                                 Tails, 4

Tails                            6                                  Tails, 6

Thus, option C is correct.

Answer 2

Alright, so you have to have heads and tails, as well as 3 spots each for each even number. Therefore, we need heads with 2 4 6 as well as tails with 2 4 6  (the third one down in the first picture)