Let's address the probability of selecting a specific card from a standard deck of 52 cards.
1. Identify the Total Number of Possible Outcomes:
- A standard deck of cards contains 52 cards.
2. Identify the Number of Favorable Outcomes:
- There is only one card that you name. Thus, the number of favorable outcomes is 1.
3. Calculate the Probability:
- The probability, [tex]\( P \)[/tex], of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.
[tex]\[
P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}}
\][/tex]
- Substituting the values:
[tex]\[
P = \frac{1}{52}
\][/tex]
4. Verification with Options:
- Option A: [tex]\(\frac{1}{25}\)[/tex] is not correct as 25 is not the total number of cards in a standard deck.
- Option B: [tex]\(\frac{1}{1,000,000}\)[/tex] is not correct as 1,000,000 is not the total number of cards in a standard deck.
- Option C: [tex]\(\frac{4}{25}\)[/tex] is incorrect because it simplifies to a probability of 0.16, which does not align with the given probabilities of individual cards in a standard deck.
Therefore, the best answer is:
D. [tex]\(\frac{1}{52}\)[/tex]
