How many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same suit are chosen?

How many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same suit are chosen?

We need minimum 9 cards to make sure that there are 3 cards of same suit.

How many cards must you draw from a standard 52 card deck to guarantee that you have 5 cards of the same suit?

It seems clear by this matrix that to ensure five cards of one suit, one must draw at least 17 cards.

How many cards from a deck of 52 do you have to draw to ensure you have 2 of the same number face?

So, by using the Counting Principal, we have 52*51 = 2652 ways to draw two cards from a deck of 52 without replacing the first card before drawing the second card.

How many cards must you pick from a standard 52 card deck to ensure that at least 2 are red?

How many cards do you need to pick from a standard 52-card deck to be sure to get a red card? 27, because if you pick all of the 26 black cards, the next one must be red.

How many students must be in a class to guarantee that at least?

How many students must be in a class to guarantee that at least two students receive the same score on the final exam, if the exam is graded on a scale from 0 to 100 points. Proof: □ To use pigeonhole principle, first find boxes and objects. principle, the number of students must be 102 or more.

How many cards must be chosen from a deck to guarantee that at least?

(a) A standard deck of 52 cards contains 4 aces and 48 other cards. , we first pick the 48 other cards before picking the 2 aces. Thus we need to pick at least 50 cards to be guaranteed that we picked 2 aces.

How many ways are there to choose 10 cards from a 52 card deck?

For any 4 cards from 52 there are 52C4=270725 combinations. In other words, your 10 cards only comprises of 210 four card combinations from a possible 270725.

What is the probability of drawing a 10 from a deck of 52 cards?

4
1 Expert Answer The probability of drawing the initial 10 is 4 (the number of 10s in the deck) out of 52 (the number of cards in the deck).

How many ways May 4 cards be drawn randomly from a deck of 52 cards?

In how many ways can 4 cards be drawn randomly from a pack of 52 cards such that there are at least 2 kings and at least 1 queen among them? Total ways possible = 1108 And this is the correct answer.

How many students must be in a class to guarantee that at least two?

By the pidgeon hole principle, you must have 102 students in class to assure that two of them get the same score.

How many students do you need in a school to guarantee that there are at least 2 students whose name starts with the same letter?

So, number of ways for at least 2 students who have the same first two initials are 676+1=677.

How many cards do you need to be dealt to be guaranteed at least one four of a kind?

Since 13 x 3 + 1 = 40, if 40 cards are drawn it is guaranteed that those forty cards contain at least one four of a kind.

How many cards must be selected from a standard deck of 52?

How many cards must be selected from a standard deck of 52 cards to guarantee that at least 3 cards of same suit (from discrete math)? Fast. Simple. Free. Get rid of typos, grammatical mistakes, and misused words with a single click. Try now. Think of the worst possible case, everytime you draw a card it’s from a different suit.

How many cards can you draw with 3 cards?

The color of the third must be like the color of the 1 st or of the 2nd. Therefore with 3 cards you have the guarantee that you have drawn 2 cards of the same color. If you want to have the guarantee that you draw a second card with the same color as the first you must draw on the whole, in the worst possible case, 28 cards.

Do you have to draw 2 cards of the same color?

The color of the 2nd card may be like the color of the first or the different one. The color of the third must be like the color of the 1 st or of the 2nd. Therefore with 3 cards you have the guarantee that you have drawn 2 cards of the same color.