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

Which table correctly shows all the sample spaces for tossing a coin and rolling an-example-1
Which table correctly shows all the sample spaces for tossing a coin and rolling an-example-1
Which table correctly shows all the sample spaces for tossing a coin and rolling an-example-2

2 Answers

4 votes

Answer:

C

Explanation:

User Patrick Peters
by
8.2k points
1 vote

Answer:

Option C is correct.

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.

User Umidbek
by
8.3k points