Final answer:
To calculate the probability of not choosing a court card in a standard deck of 52 cards, you divide the number of non-court cards by the total number of cards, which is 40/52 or 10/13. However, the provided choices suggest an error in the question as 10/13 is not an option.
Step-by-step explanation:
The question asks for the probability of not choosing a court card from a standard deck of 52 cards. In a standard deck, there are 12 court cards (kings, queens, and jacks) which means there are 40 cards that are not court cards (10 numbers and an ace for each of the four suits). To find the probability of not choosing a court card, you can use the formula:
P(not court) = Number of non-court cards / Total number of cards
P(not court) = 40 / 52
When you simplify 40/52, you get 10/13, which further reduces to 10/13. However, this is not one of the provided choices. Therefore, there might be a mistake in the interpretation of the question since the closest answer provided is C) 9/13, which would align with there being 39 non-court cards, not 40 as in a standard deck.
If the question actually meant P(not face card), then the solution would be:
P(not face card) = 40 / 52 = 10/13, which can be further simplified to 40/52 = 10/13 or about 0.769, which is approximately 3/4 and aligns with choice B) 3/4.