given a standard deck of 52 cards, 3 cards are dealt. If each card is replaced in the deck (and the deck is well shuffled) after being dealt answer the questions below.

1. If the first two cards are queens, what is the probability that you will be dealt three queens?
2/50 = 1/25
2. If two of the three cards are queens, what is the probability that the other card is not a queen?
48/50=24/25

Right.

To answer the questions, we need to calculate the probability of getting three queens given certain conditions.

1. If the first two cards are queens:
To calculate the probability of getting three queens in this case, we need to consider that the first two queens have already been dealt and are now back in the deck. Since each card is replaced and the deck is well shuffled, the probability of getting a queen again for the third card is the same as the probability of getting a queen on any initial draw.

There are 4 queens in a standard deck of 52 cards. So, the probability of drawing a queen on any particular draw is 4/52. After replacing the cards and shuffling, the probability remains the same. Therefore, the probability of getting three queens after the first two cards are queens is (4/52) * (4/52) * (4/52) = 1/169, which can be simplified as 1/13 * 1/13 * 1/13 = 1/2197.

2. If two of the three cards are queens:
In this case, we already know that two of the cards drawn are queens, and we need to calculate the probability of the third card not being a queen.

To find the probability, we need to determine the number of non-queen cards in a deck after two queens have already been drawn. There are 48 non-queen cards remaining in the deck out of the original 50 cards (52 total - 2 queens). Therefore, the probability of drawing a non-queen card for the third card is 48/50.

Hence, the probability of the third card not being a queen, given that two of the three cards are queens, is 48/50 which can be simplified as 24/25.

1. 2/50=1/25

2. 48/50=24/25