Suppose that you want to get either four consecutive cards from the same suit or three cards with the same value. Your hand is shown here. You draw a card from the remaining 42 cards in the standard deck. Which probably is greater? Why?  - drawing 5♥️, or - drawing 8♥️ or 8♠️

Q: You need to schedule a chess tournament for 200 students in a junior high school. How many games…

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Q: State if this scenario involves a permutation or a combination. Then find the number of…

A: The student body of 10 students wants to elect a president, vice president, secretary, andtreasurer.…

Q: Determine n if 3 + 32 + 33 + .... 3n = 9840

A: Determine n if3 + 32 + 33 + .... 3n = 9840

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A: The number of ways to obtain the r object out of n object is given by the formula nCr=n!r!n-r!. The…

Q: deck of cards has 2 black, 5 green, and 6 blue cards. You pick 2 cards from the deck. Cards are…

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Q: Bowling Movie Theater 2 8 3 7

A: Explanation of the answer is as follows

Q: What is the probability that you are dealt a(n) black card ranked 9 or higher

A: Introduction: The probability of an event in an experiment is the number outcomes in the experiment…

Q: There are nine shirts in your closet,f ive blue and four green. Three of the blue shirts and two of…

A: Given that, There are 9 shirts in the closet in which 5 are blue and 4 are green. 3 of the blue and…

Q: A deck of cards has 4 gray, 3 blue, 5 white, and 6 green cards. You pick 2 cards from the deck.…

A: There are 4 gray, 3 blue, 5 white, and 6 green cards.

Q: This exercise efers to a standard deck of playing cards. Assume that 6 cards are randomly chosen…

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Q: You are playing a game with a standard 52 card deck. In this game each player gets 3 cards, and the…

A: We can use combinations to find the answer. There are 52 cards and each player gets 3 cards.

Q: You are dealt one card from a 52-card deck. Find the probably that you are not dealt a four.

A: The probability of an event is given by the number of favorable cases divided by the total number of…

Q: Miguel is playing cards with his brother when he draws a card from a pack of 30 cards numbered from…

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Q: Find the number of 8 card hands that have 2 red cards and 6 black cards. (Two of the suits are red…

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Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

Q: Your friend wants to perform a magic trick and asks you to draw 2 cars from a standard deck of 52.…

A: There are 52 cards in a standard deckIf you choose randomly two cards in a deck, place the first…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

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Q: Answer the Following Question Your friend shuffles a standard deck of cards and says to pick one.…

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.