Two cards are drawn at random from an ordinary deck of 52 cards. Determine the probability that both cards are queens if a. the first card is replaced before the second card is drawn. b. the first card is not replaced before the second card is drawn.

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:

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:

There is a probability of 4.5% of getting two queens if the card is not replaced.

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