Question

HELP DO NOT UNDERSTAND THIS

6. Which of the following represents the sample space for rolling a six-sided die and tossing a coin? (1 point)
{1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}
*{1, 2, 3, 4, 5, 6}
{H, T}
{1, 2, 3, 4, 5, 6, H, T}

Answer 1

The question is asking this. If you roll a die with 6 sides, numbered 1 through 6, and you also toss a coin, what are all the possible outcomes?

Answer 2

keep in mind that for every toss of the dice, each number has only 2 choices from the coin toss

if say "1" falls in, then the coin will only give either Head or Tails
if 2 falls in ....
if 3 falls in ... and so on

so what do you think is the sample space?

Answer 3

thanks

so 1,2,3,4,5,6,H,T

Answer 4

No. Let me try to explain it more clearly.

Each event here is rolling a die and tossing a coin. The die can come out 6 ways, 1, 2, 3, 4, 5, or 6. The coin can come out 2 ways: H or T.

The important thing is that each event is the rolling of the die plus the tossing of the coin.

Let's start listing the possible outcomes.

Let's say the die lands on 1. When you toss the coin, you can have H or T.
That means from the die's 1, you have two possible outcomes: 1H, 1T

Now let's say the die lands on 2. Once again, the coin can give you heads or tails, so with the 2 from the die, you have another 2 possible outcomes: 2H, 2T.

The same happens with the die's rolls of 3, 4, 5, and 6.

Now what are all the possible outcomes? I showed you above the outcomes when the die rolls a 1 or a 2. Do the same for the die's rolls of 3, 4, 5, and 6. Then you will have all possible outcomes.