Question 1206926
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Answer: <font color=red size=4>8/5525</font>


Work Shown


A1 = first card is red ace
A2 = second card is 10 or jack
A3 = third card is between 3 and 7, excluding both endpoints


P(A1) = 2/52 = 1/26
This is because there are 2 red aces (hearts and diamonds) out of 52 cards total.


P(A2 given A1) = 8/51 
This is because there are 8 cards that are either labeled "10" or "jack", out of 51 remaining cards.


P(A3 given A1 and A2) = 12/50 = 6/25
Note there are 12 cards labeled either "4", "5", or "6" and there are 50 cards remaining.


Multiply out those fractions: (1/26)*(8/51)*(6/25) = 48/33150 = <font color=red>8/5525</font>


8/5525 = 0.001447963800905 approximately
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