Answer:
1/9
Step-by-step explanation:
There are a total of 4 + 5 + 3 + 3 = 15 cards in the stack.
The probability of selecting a queen on the first draw is:
P(First Queen) = Number of queens / Total number of cards
= 5/ 15
= 1/3
Since the first queen is replaced, the total number of cards remains the same at 15 as do the total number of queens
The probability of selecting a queen on the second draw is also the same as the probability of selecting a queen on the first draw
P(second Queen) = 5/15 = 1/3
Since the two events are independent, the combined probability of selecting two queens on two draws after replacement is the product of the two probabilities:
P(2 queens with replacement) = P(first queen) * P(second queen)
= 1/3 * 1/3
= 1/9
