Question
What is the probability of drawing a black nine from a standard deck of playing cards?(1 point) Responses 113 Start Fraction 1 over 13 End Fraction 352 Start Fraction 3 over 52 End Fraction 152 Start Fraction 1 over 52 End Fraction 126
Answers
GPT-4o mini
A standard deck of playing cards has 52 cards, which includes 2 black nines (the 9 of Spades and the 9 of Clubs).
To find the probability of drawing a black nine, we can use the formula for probability:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (drawing a black nine) is 2, and the total number of outcomes (total cards in the deck) is 52.
So the probability is:
\[
\text{Probability} = \frac{2}{52} = \frac{1}{26}
\]
None of the response options listed match this calculation. The corrected probability of drawing a black nine from a standard deck of playing cards is \(\frac{1}{26}\). If you are restricted to the options you provided, the correct way to represent the probability of drawing any black card (excluding any wrong options) would be \( \frac{3}{52} \) for three black cards (but that includes all black cards, not just the nine).
So among your options, none directly correctly represent \(\frac{1}{26}\).
To find the probability of drawing a black nine, we can use the formula for probability:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (drawing a black nine) is 2, and the total number of outcomes (total cards in the deck) is 52.
So the probability is:
\[
\text{Probability} = \frac{2}{52} = \frac{1}{26}
\]
None of the response options listed match this calculation. The corrected probability of drawing a black nine from a standard deck of playing cards is \(\frac{1}{26}\). If you are restricted to the options you provided, the correct way to represent the probability of drawing any black card (excluding any wrong options) would be \( \frac{3}{52} \) for three black cards (but that includes all black cards, not just the nine).
So among your options, none directly correctly represent \(\frac{1}{26}\).