Answer :
To address this question, let's analyze the situation step by step.
1. Understanding the Scenario:
- We are dealing with two independent events: drawing a Queen from a standard deck of cards and then flipping a coin to get Tails.
2. Probability Calculations:
- Drawing a Queen:
- A standard deck of 52 cards has 4 Queens. Consequently, the probability of drawing a Queen is [tex]\( \frac{4}{52} = \frac{1}{13} \)[/tex].
- Flipping a Tail:
- Since a fair coin has two sides, the probability of getting Tails is [tex]\( \frac{1}{2} \)[/tex].
3. Combining Probabilities:
- The events are independent, so we multiply their probabilities:
- Probability of drawing a Queen and flipping Tails:
[tex]\[ \text{Probability} = \left( \frac{1}{13} \right) \times \left( \frac{1}{2} \right) = \frac{1}{26} \][/tex]
- This result, when converted to a decimal, is approximately 0.03846.
4. Classifying the Type of Probability:
- Since the given probability of 1/26 is derived from the known properties and fixed structure of a deck of cards and a coin flip without needing to conduct repeated trials or experiments, it is a clear example of theoretical probability.
Considering this analysis, the correct answer to the question would be:
d) This shows theoretical probability.
1. Understanding the Scenario:
- We are dealing with two independent events: drawing a Queen from a standard deck of cards and then flipping a coin to get Tails.
2. Probability Calculations:
- Drawing a Queen:
- A standard deck of 52 cards has 4 Queens. Consequently, the probability of drawing a Queen is [tex]\( \frac{4}{52} = \frac{1}{13} \)[/tex].
- Flipping a Tail:
- Since a fair coin has two sides, the probability of getting Tails is [tex]\( \frac{1}{2} \)[/tex].
3. Combining Probabilities:
- The events are independent, so we multiply their probabilities:
- Probability of drawing a Queen and flipping Tails:
[tex]\[ \text{Probability} = \left( \frac{1}{13} \right) \times \left( \frac{1}{2} \right) = \frac{1}{26} \][/tex]
- This result, when converted to a decimal, is approximately 0.03846.
4. Classifying the Type of Probability:
- Since the given probability of 1/26 is derived from the known properties and fixed structure of a deck of cards and a coin flip without needing to conduct repeated trials or experiments, it is a clear example of theoretical probability.
Considering this analysis, the correct answer to the question would be:
d) This shows theoretical probability.
