SOLUTION: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a jack and a 3 being drawn. The probability of a jack and a 3 being drawn is

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Question 1142196: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a jack and a 3 being drawn.
The probability of a jack and a 3 being drawn is
Found 3 solutions by addingup, greenestamps, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
P(J, then 3) = (1/13)(4/51) = 4/663 = 0.6% probability

Answer by greenestamps(13358) About Me  (Show Source):
You can put this solution on YOUR website!


For the problem exactly as stated, the solution by the other tutor is incorrect.

The problem does not say a jack is drawn first and a 3 is drawn second; it says the two cards drawn are a jack and a 3.

P(J,3) = (4/52)(4/51) = (1/13)(4/51) = 4/663
P(3,J) = (4/52)(4/51) = (1/13)(4/51) = 4/663

P(jack and 3 in two draws) = 8/663

Answer by ikleyn(53886) About Me  (Show Source):
You can put this solution on YOUR website!
.
If two cards are drawn without replacement from an ordinary​ deck, find the probability of a jack and a 3 being drawn.
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        The solution in the post by @addingup is not precisely correct.
        For correct solution, see my post below. 


P = P(J, then 3) + P(3, then J) = %284%2F52%29%2A%284%2F51%29 + %284%2F52%29%2A%284%2F51%29 = %288%2F52%29%2A%284%2F51%29 = 0.012066365.


ANSWER.  The probability is about  0.0121, or 1.21%.

Solved correctly.