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?

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

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.

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.

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! :)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)