From a standard deck of 52 cards, if you draw three cards one after the other without replacing them, what’s the probability of all three cards being Aces?

Step 1: Identify the total number of aces in the deck. In a standard deck, there are 4 aces.

Step 2: Calculate the probability of drawing the first ace. This is 4 (the number of aces) out of 52 (the total number of cards), or 4/52.

Step 3: After drawing the first ace, there are now 3 aces left and 51 total cards. So, the probability of drawing a second ace is 3/51.

Step 4: After drawing the second ace, there are now 2 aces left and 50 total cards. So, the probability of drawing a third ace is 2/50.

Step 5: The probability of all three events happening (drawing three aces in a row) is the product of their individual probabilities. So, multiply the three probabilities together:

(4/52) * (3/51) * (2/50) = 0.000181

So, the probability of drawing three aces in a row from a standard deck without replacement is approximately 0.000181, or 0.0181%.