Answer:
There is a probability of 5,9% of getting two queens if the card is replaced.
There is a probability of 4.5% of getting two queens if the card is not replaced.
Step-by-step explanation:
There are 4 queens in the 52 cards deck.
So there is a probability of 4 in 52 of getting a queen in the first draw.
a. If the the card is replaced, the probabilty of getting two queens in a row is:
[tex]P=P_q^2=(\frac{4}{52} )^2=\frac{16}{2704}= 0.0059[/tex]
There is a probability of 5,9% of getting two queens if the card is replaced.
b. If the card is not replaces, the deck is left with 51 cards, in which 3 of them are queens.
So the probability in this case of getting 2 queens in a row is:
[tex]P=\frac{4}{52} *\frac{3}{51} =\frac{12}{2652}= 0.0045[/tex]
There is a probability of 4.5% of getting two queens if the card is not replaced.
