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Mandarinka [93]
3 years ago
9

4) How many cards must you draw from a deck of 52 cards to have at least 5 cards of one suit?

Mathematics
1 answer:
malfutka [58]3 years ago
4 0
<h3>Answer: 17 cards</h3>

================================================

Explanation:

The best case scenario is that you pull 5 cards from the same suit in a row (eg: 5 spades in a row).  However, we have to plan for the worst case scenario that way we can guarantee to have 5 cards in one suit without having to look at the cards.

The worst case scenario is that you pull cards such that you get one suit at a time (eg: spade, heart, club, diamond). On the 5th draw, we finally get a card that repeats a suit.

If we repeat the sequence {spade, heart, club, diamond} in that order a total of two times, then we'll have 8 cards with 2 cards per suit.

Doing that sequence four times we'll have 4*4 = 16 cards and 4 cards per suit. That 17th card will repeat a suit a fifth time and this is when we'll be guaranteed to have at least 5 cards of one suit.

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How many square feet of outdoor carpet will we need for this hole?
Mamont248 [21]

Answer:

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

Step-by-step explanation:

The picture below is what you are referring to .

The whole area of the shape forms a rectangle. A triangle and a  rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .

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7 0
3 years ago
What is the slope of the line below? If necessary, enter your answer as a
Westkost [7]

9514 1404 393

Answer:

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Step-by-step explanation:

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The slope of the line through the given points is 6/5.

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