Question

You have all 13 cards in the diamonds suit from a deck of cards. What are the chances that if you pick 3 cards at random from among these 13 cards, they will be jack, queen, and king in that order?

A. 1/286
B. 1/1,716
C. 1/2,197
D. 1/39

Answer 1

The probability of drawing the Jack, Queen, and King of Diamonds in that order from a set of 13 diamond cards is 1/1,716, which is answer choice B.

Step-by-step explanation:

The question is asking for the probability of picking three specific cards in order from a subset of the diamonds suit. To find this, we use the principle of multiplying the probabilities of each step happening in sequence when we draw without replacement. The first card must be the Jack of Diamonds, which has a probability of 1/13, since there's only one Jack in the 13 diamonds. Once the Jack is drawn, there are 12 diamonds left, and the second card must be the Queen of Diamonds, which has a probability of 1/12. Finally, after drawing the Queen, there are 11 diamonds left, and the third card must be the King of Diamonds, giving us a probability of 1/11. Multiplying these probabilities gives us:

1/13 * 1/12 * 1/11 = 1/(13*12*11) = 1/1716

Therefore, the correct answer is B. 1/1,716.