Question

IM SOOO CONFUSED PLZZ EXPLAIN

A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. After shuffling the deck, Linbo deals the cards to his friends for the game. Which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced?

Answer 1

To find the probability of getting three hearts in a row, use the expression (13 choose 3) / (52 choose 3).

Step-by-step explanation:

To find the probability that the first three cards that Linbo deals are all hearts, we need to calculate the number of favorable outcomes and the total number of possible outcomes.

The number of favorable outcomes is the number of ways we can choose 3 hearts from the 13 hearts in the deck, which is represented by 13 choose 3.

The total number of possible outcomes is the total number of ways we can choose 3 cards from the 52 cards in the deck, which is represented by 52 choose 3.

Therefore, the expression to find the probability is (13 choose 3) / (52 choose 3).

Answer 2

Step 1) What is the probability of dealing a heart?

Answer: 13/52

Step 2) Given that one heart card has been removed from the deck now, what is the probability of dealing a heart?

-Here, there would be one less heart and one less card overall, because we're assuming that the first card dealt was a heart.

Answer: 12/51

Step 3) Given that two heart cards have been removed from the deck now, what is the probability of dealing a heart?

-Again, there is one less total card overall and we are assuming that that card is a heart.

Answer: 11/50

Step 4) Multiply each of the probabilities together, because this is an "and" problem. Each of the events are dependent on one another, and so we need to multiply.

13/52 x 12/51 x 11/50

Hope this helps! :)