In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
standard deck of cards
p ( 2 queens) = ? (with replacement)
Step 02:
simple probability:
p (x) = favorable outcomes / total outcomes
Event 1:
total queens = 4
total outcomes = total cards = 52
p(q1) = 4 / 52 = 2 / 26 = 1 / 13
Event 2 (with replacement):
total queens = 4
total outcomes = total cards = 52
p(q2) = 4 / 52 = 2 / 26 = 1 / 13
final probability = p(q1) * p(q2)
[tex]finalprobability\text{ = }\frac{1}{13}\cdot\frac{1}{13}=\frac{1}{169}\text{ = }0.0059[/tex]The answer is:
1 / 169 = 0.0059
