SOLUTION: You draw two cards at random from a 52-card deck. What is the probability that the second card is one value higher than the first (e.g. a 10 followed by a jack)? (consider aces to

Algebra ->  Probability-and-statistics -> SOLUTION: You draw two cards at random from a 52-card deck. What is the probability that the second card is one value higher than the first (e.g. a 10 followed by a jack)? (consider aces to       Log On


   



Question 769275: You draw two cards at random from a 52-card deck. What is the probability that the second card is one value higher than the first (e.g. a 10 followed by a jack)? (consider aces to be high)
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
You must select your first card as something other than an ace, since your
second card could only be higher if your first one was not an ace.  So the
probability of selecting a card first that can be followed by a second card
that is one value higher is

48%2F52 which reduces to 12%2F13

Then having selected such a card, there are 4 possible second cards that is one
value higher that it is.  The probability of selecting one of those out of the
remaining 51 cards is 4%2F51

So the probability is 12%2F13%22%22%2A%22%224%2F51 = 48%2F663 =16%2F221 or 0.07239819

Edwin