Question

You are dealt a hand of 3 cards one at a time , find the probability of each one

Answer 1

The probability of each card when you are dealt a hand of 3 cards one at a time from a well-shuffled deck of 52 cards is 1/52 for the first card, 1/51 for the second card, and 1/50 for the third card. The overall probability is 1/132600.

Step-by-step explanation:

When you are dealt a hand of 3 cards one at a time from a well-shuffled deck of 52 cards, the probability of each card is different depending on the previous card(s) that have been dealt. To find the probability of each card, we need to break down the problem into smaller steps:

1. For the first card, there are 52 cards in the deck, so the probability of getting any specific card is 1/52.
2. For the second card, there are now 51 cards remaining in the deck, so the probability of getting any specific card is 1/51.
3. For the third card, there are 50 cards remaining in the deck, so the probability of getting any specific card is 1/50.

To find the overall probability, we need to multiply the probabilities of each card step-by-step: 1/52 * 1/51 * 1/50 = 1/132600.