Draw 3 cards at random, one after the other, without replacement, from a set of 4 cards consisting of one club, one diamond, one heart, and one spade; X represents

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: You have 8 friends from your high school and 6 friends from the high school across town. How many…

A:

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: 49 The duration Y of long-distance telephone calls (in minutes) monitored by a station is a random…

A: Long distance phone calls is given by:P( y = 3) =0.1P(Y = 6) =0.2Continuous density function:We need…

Q: How many different 4 card hands can be dealt from a deck of 52 cards?

A:

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

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: 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: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: Visualize three playing cards adjacent to one another. A five is just to the right of a three, and a…

A: There are three playing cards adjacent to one another. The answer is attached below.

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given,Total no.of cards=52no.of club cards=13no.of hearts=13

Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

Q: A basket contains four apples, four peaches, and four pears. You randomly select a piece of fruit.…

A: Number of Apples, n(A)= 4 Number of peaches, n(Pch)= 4 Number of pears, n(pr)= 4 Total fruits , n=…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: If A=7degrees, C=115degrees and c=530yrd find a

A: We can solve the problem by the law of sine.

Q: Pauline has seven dancers to choose from to fill the positions as playing cards in a production…

A: Given that there are 7 cards and 7 dancers.  The first dancer can be assigned in 7 ways.  When the…

Q: Casino has a new game that uses 10 identical decks of cards mixed into 1 megadeck. How many 10 card…

A: A deck consists of 52 cards. Total cards in 1 megadeck that uses 10 identical decks of…

Q: How many five-card hands have exactly two Queens?

A: The total cards in a deck = 52 Total queens = 4 There will be two of the four queens, and three…

Q: how many liked these?

A:

Q: How many 13-card hands dealt from a standard deck will have exactly seven spades?

A: A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear…

Q: If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}.

A:

Q: How many​ 5-card hands can be dealt from a standard deck of 52​ cards?

A: The objective of this question is to find out the number of different 5-card hands that can be dealt…

Q: Casey is looking to rent a two-bedroom apartment in one of two towns, Gardiner or Augusta. He…

A: It is given that the z-score for Gardiner is –1.46 and the z-score for Augusta is –1.38.

Q: How many different 6 card hands can be dealt from a deck of 52 cards? Your answer is

A:

Q: Assume that you have a 52-card deck at hand and you are planning to draw 5 cards from the deck. How…

A: The number of cards in the deck is 52.The number of cards to be drawn is 5.In order to obtain a…

Q: In a standard deck of 52 cards, how many cards are either aces or hearts?

A: There is a standard deck of 52 cards. To determine how many cards are either aces or hearts.

Q: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

Q: How many 5-card hands can be chosen from a deck of cards?

A:

Q: how many pairs (two cards with the same face and three cards with all different faces) are possible…

A:

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.