Question

which representation illustrates all the possible outcomes of flipping a coin and rolling a number cube with the numbers 1-6 on it

Answer 1

Answer:

The possible outcomes of flipping a coin and rolling a die are  ({H1}, {H2}, {H3}, {H4}, {H5}, {H6} , {T1}, {T2}, {T3}, {T4}, {T5},  {T6})

Step-by-step explanation:

Given : flipping a coin and rolling a number cube with the numbers 1-6 on it.

We have to find the possible outcomes of flipping a coin and rolling a die.

We know a coin has two sides head and tail.

So, sample space for flipping a coin = ( {H}, {T} )

Also, rolling a number cube with the numbers 1-6 on it has six possible outcome.

So, sample space for rolling a die = ( 1, 2, 3, 4, 5, 6)

Thus, Possible outcome for flipping a coin and rolling a number cube with the numbers 1-6 on it will be,

Sample space = ({H1}, {H2}, {H3}, {H4}, {H5}, {H6} , {T1}, {T2}, {T3}, {T4}, {T5},  {T6})

Thus, Last representation is correct.

Answer 2

Step-by-step explanation:

Given : flipping a coin and rolling a number cube with the numbers 1-6 on it.

We have to find the possible outcomes of flipping a coin and rolling a die.

We know a coin has two sides head and tail.

So, sample space for flipping a coin = ( {H}, {T} )

Also, rolling a number cube with the numbers 1-6 on it has six possible outcome.

So, sample space for rolling a die = ( 1, 2, 3, 4, 5, 6)

Thus, Possible outcome for flipping a coin and rolling a number cube with the numbers 1-6 on it will be,

Sample space = ({H1}, {H2}, {H3}, {H4}, {H5}, {H6} , {T1}, {T2}, {T3}, {T4}, {T5},  {T6})