<h3>
Answer as a fraction = 14/221 (exact)</h3><h3>
Answer in decimal form = 0.0633 (approximate)</h3><h3>
Answer in percent form = 6.33% (approximate)</h3>
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Work Shown:
There are 13 diamond cards. The probability of getting a diamond card is 13/52 = 1/4.
Assuming the first card is not replaced, the probability of getting another diamond card is 12/51. Note how I subtracted 1 from the numerator and denominator of 13/52 to get 12/51.
Multiply the two fractions to get
(1/4)*(12/51) = 12/204 = 1/17
The probability of getting two diamonds in a row is 1/17
We'll use this later, so let A = 1/17.
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There are 4 kings. The probability of pulling out a king is 4/52 = 1/13
The probability of pulling out another king is 3/51 = 1/17
The probability of pulling out two kings in a row is (1/13)*(1/17) = 1/221
Let B = 1/221
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Add the values of A and B
A+B = 1/17 + 1/221
A+B = 13/221 + 1/221
A+B = (13+1)/221
A+B = 14/221
A+B = 0.0633 which is approximate
That converts to 6.33% when you move the decimal point over 2 spots to the right.
