An experiment is broken up into two parts. In the first part of the experiment a penny is tossed in the air. If the coin lands on heads, then the coin is flipped a second time. If the coin lands on tails, then a six-sided die is rolled. What is the probability of getting a tail and a 3?
A.


B.


C.


D.


Respuesta :

Answer:

To find the probability of getting a tail and a 3 in the described experiment, we can break it down step by step:

1. The first step is getting a tail when the coin lands on tails. The probability of getting tails on a fair coin is 1/2 since there are two possible outcomes (heads or tails) and each has an equal chance.

2. The second step is rolling a 3 on a six-sided die. The probability of rolling a 3 on a fair six-sided die is 1/6 since there are six possible outcomes (numbers 1 to 6) and only one of them is a 3.

3. To find the overall probability of getting a tail and a 3, we multiply the probabilities of each step since both events need to occur. So, (1/2) * (1/6) = 1/12.

Therefore, the probability of getting a tail and a 3 in the described experiment is 1/12.

Step-by-step explanation:

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