Question

Find the probability of selecting 2 queens from a standard deck of cards with replacement?

Answer 1

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)

`finalprobability\text{ = }(1)/(13)\cdot(1)/(13)=(1)/(169)\text{ = }0.0059`

The answer is:

1 / 169 = 0.0059