A coin is tossed. If a head appears, a spinner that can land on any of the numbers from 1 to 5 is spun. If a tail appears, the coin is tossed a second time instead of spinning the spinner. What are the possible outcomes? A. (T,H)(T,T)(T,1)(T,2)(T,3)(T,4)(T,5) B. (T,H)(H,H)(T,1)(T,2)(T,3)(T,4)(T,5) C. (T,H)(T,T)(H,1)(H,2)(H,3)(H,4)(H,5) D. (T,H)(H,H)(H,1)(H,2)(H,3)(H,4)(H,5)

its C

the answer

To determine the possible outcomes, we need to consider all the possible combinations of the coin toss and the spinner spin.

1. Coin toss: Head, Spinner spin: 1, 2, 3, 4, 5
2. Coin toss: Tail, Coin toss: Head, Spinner spin: 1, 2, 3, 4, 5
3. Coin toss: Tail, Coin toss: Tail

Combining these possibilities, we have:

(T, H) (T, 1) (T, 2) (T, 3) (T, 4) (T, 5) (H, H)

Therefore, the correct answer is B. (T, H) (H, H) (T, 1) (T, 2) (T, 3) (T, 4) (T, 5)

To find the possible outcomes, we need to consider the two tosses - the first toss of the coin and the second toss (if applicable).

For the first toss:
- If a head (H) appears, we spin the spinner that can land on any number from 1 to 5.
- If a tail (T) appears, we move on to the second toss.

For the second toss:
- If it is the second toss, we toss the coin again.
- Regardless of the outcome, we do not spin the spinner in this case.

Combining the possibilities from the first toss and, if necessary, the second toss, we get the following possible outcomes:

(T, H) represents the outcome of getting a tail (T) on the first toss and a head (H) on the second toss.
(T, T) represents the outcome of getting tails (T) on both the first and second tosses.
(T, 1) represents the outcome of getting a tail (T) on the first toss and 1 on the second toss.
(T, 2) represents the outcome of getting a tail (T) on the first toss and 2 on the second toss.
(T, 3) represents the outcome of getting a tail (T) on the first toss and 3 on the second toss.
(T, 4) represents the outcome of getting a tail (T) on the first toss and 4 on the second toss.
(T, 5) represents the outcome of getting a tail (T) on the first toss and 5 on the second toss.

Putting all these possibilities together, the correct answer is:

A. (T, H)(T, T)(T, 1)(T, 2)(T, 3)(T, 4)(T, 5)