Final answer:
The probability of drawing an ace as the first card and then drawing another ace as the second card in a deck of cards is 1/221.
Step-by-step explanation:
To find the probability that a deck of cards will be opened until the first card drawn is an ace, and the second card drawn is also an ace, we need to calculate the probability of drawing an ace as the first card and then drawing another ace as the second card.
Step 1: Calculate the probability of drawing an ace as the first card. There are 4 aces in a deck of 52 cards, so the probability is 4/52.
Step 2: Calculate the probability of drawing another ace as the second card. After drawing the first ace, there are now 3 aces left in a deck of 51 cards, so the probability is 3/51.
Step 3: Multiply the probabilities from Step 1 and Step 2 to find the overall probability. (4/52) * (3/51) = 1/221. Therefore, the probability that a deck of cards will be opened until the first card drawn is an ace, and the second card drawn is also an ace is 1/221.