Question

The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin. Which outcome is represented by x?

Answer 1

A.

Explanation:

rolling a two and the coin landing on tails

Answer 2

{(1,H), (2,H), (3,H), (4,H), (5,H), (6,H), (1,T), (2,T), (3,T), (4,T), (5,T), (6,T)}

Explanation:

Let X would represent each possible outcome of rolling a six-sided number cube and flipping a coin.

Possible outcomes of rolling a six-sided number cube = { 1, 2, 3, 4, 5, 6 }

Number of possible outcomes of rolling a six-sided number cube = 6

Possible outcomes of flipping a coin = { H, T }

Number of possible outcomes of flipping a coin = 2

Total possible outcomes represented by X are

{(1,H), (2,H), (3,H), (4,H), (5,H), (6,H), (1,T), (2,T), (3,T), (4,T), (5,T), (6,T)}

Number of total possible outcomes represented by X = 6 × 2 = 12

Therefore, the outcomes {(1,H), (2,H), (3,H), (4,H), (5,H), (6,H), (1,T), (2,T), (3,T), (4,T), (5,T), (6,T)} represented by X.