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$3$ cards are chosen at random from a standard $52$-card deck. What is the probability that they can be arranged into a group of three consecutive cards, all of the same suit? For this problem, an Ace can either come before a $2$ or after a King, but not both (so A$23$ and QKA both count, but KA$2$ doesn't).

 Apr 27, 2023
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There are 12*4 = 48 favourable sets of 3 cards

 

52C3 = 22100 sets of 3 altogether 

 

So what do you think the answer is?

 Apr 27, 2023

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