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)
Well is has to be C or D because you don't get a spin with tails on the first throw. Of those two, how could there be an (H,H) possibility?
Find the probability of each event.
Spinning red on a spinner with equally sized red, blue, yellow, and green sectors, and flipping a coin that lands tails up.
To determine the possible outcomes, we need to consider the different combinations of outcomes from the coin toss and the spinner spin.
If the coin lands on heads (H), the spinner is spun, and it can land on any of the numbers from 1 to 5.
If the coin lands on tails (T), the coin is tossed a second time instead of spinning the spinner. In this case, the second coin toss can result in either heads (H) or tails (T) again.
Therefore, the possible outcomes are: (T, H), (T, T), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5).
Looking at the answer choices:
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)
From the analysis above, we can see that the possible outcomes are correctly listed in option A: (T, H), (T, T), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5). Therefore, the correct answer is A.