The events mutually exclusive, because a card be both even and a composite number. c. The card is red and the card is a diamond. The events mutually exclusive, because a card be both red and diamond. d. The card is a face card and the card is an red number. The events mutually exclusive, because a card be both a face card and an red number. e. The card is a club and the card is a face card. The events mutually exclusive, because a card be both a club and a face card. f. The card is a club and the card is a heart. The events mutually exclusive, because a card be both a club and a heart. Click to select your answer(s).

Q: In how many ways can C finish first and A finish second?   What is the probability that C finishes…

A: Since , the total number of runners are 7 Our aim is to find the following :  a) How many ways can C…

Q: In the waiting room of a vet's office, there are 4 cats, 5 dogs, 1 lizard, and 1 hamster. A…

A: The objective of this question is to find the probability of the complement of event A, where event…

Q: The intersection of events A and B is the event that both A and B occur.

A: We have given that,  The intersection of events A and B is the event that both A and B occur?  We…

Q: An urn contains 3 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill. A player draws bills…

A: Given that ,No. of 1 dollar bill = No.of 5 dollar bill = 1No.of 5 dollar bill = 1No.of 10…

Q: you draw one card from a​ 52-card deck. Then the card is replaced in the​ deck, the deck is​…

A:

Q: Experiment A coin is flipped. Then a number cube with sides labeled 1 through 6 is rolled. Events…

A: There are given some events. We should determine wether they are independent or dependent.

Q: An experiment consists of three fair, different coloured dice being rolled (the dice are 6-sided and…

A:

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Determine the number of outcomes in the event. Decide whether the event is a simple event or not.…

A: GivenTotal no.of cards in a deck =52No.of diamonds cards=13No.of heart cards = 13No.of spade cards…

Q: A fair coin was rolled 6 times with each outcome either head or tail. How many possible outcomes for…

A: The step by step solution of the given problem is as follows:

Q: Determine if each pair of events are mutually exclusive (ME) or Mutually Inclusive (MI

A: As per bartleby guidelines for more than three subparts only first three are to be answered please…

Q: Suppose you are offered the following game to play. You will flip a fair coin until it lands heads.…

A: Given problem Given that

Q: A student from the class is randomly selected. Let A denote the event "the student is in the Chess…

A: Given information: a)  Total number of members = 12 Number of members in event A = 5 PA=512

Q: Find the probability of the given event. Being delt 6 cards from a standard 52-card deck and getting…

A: There are 52 total cards and 6 are being drawn.   The total number of ways to draw 6…

Q: e events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard…

A: Two events are said to be mutually exclusive or disjoint if both events cannot occur at the same…

Q: Find the probability of the given event.  Being dealt 6 cards from a standard 52-card deck and…

A: For any 4 card poker hand, the probability is the number of different ways that hand can be dealt…

Q: Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars…

A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

Q: Birch, Cedar, Maple, Pine, Spruce, and Willow. A city planner randomly selects the street names from…

A:

Q: 3. Two events are mutually inclusive if both events cannot happen at the same time

A: Identify if the given is TRUE OF FALSE

Q: In a game of poker, a player is given 5 cards. Identify which of the following events are…

A: d) Impossible event Generally deck of cards consists of 4 suits: Hearts,clubs,spade and diamonds.So…

Q: Decide whether the events are disjoint. Being a receptionist and being an infan

A: We have to decide whether the events ,being a receptionist and being an infant is disjoint or not.

Q: Two cards are randomly selected trom the deck of 52 cards. What is the probability that the cards…

A: Given,total no.of cards=5252 cards are divided into 4 suits and each suit having13 cards.i.e no.of…

Q: Detemine the number of outcomes in the event. Decide whether the event is a simple event or not. You…

A: Simple event :  Simple event has a single outcome

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

A:

Q: 2 3. ne spinners above are spun and stopped ndomly. What is the probability that the fference of the…

A: Given Total number of possible outcomes 5x5=25

Q: Previous q Determine the number of outcomes in the event. Decide whether the event is a simple event…

A:

Q: The chips shown are placed in a bag and drawn at random, one by one, without replacement. What is…

A: Given number of chips: 1 yellow, 2 blue, 10 Red , 2 White. Total number of chips=1+2+10+2=15 The…

Q: Determine the number of outcomes in the event. Decide whether the eve You randomly select one card…

A:

Q: 3. Abigail placed 50 strips of paper numbered from 1 to 50 inside a fishbowl. If she picked a strip…

A: As per bartleby guidelines for more than one question asked, only one question is to be solved.…

Q: Suppose there are 10 candidates in an election. After the election, an ordered list is published of…

A: As per our guidelines we are suppose to answer only one question kindlyrepost the remainin questions…

Q: Five people (Antoine, Ben, Chloe, Damien, and Evelyn) form a club, N = {A, B, C, D, E). Chloe and…

A: Note: Hi there! Thank you for posting the question. To avoid the plagiarism issues, we have used the…

Q: There are 7 streets to be named after 7 tree types. Ash, Elm, Fir, Maple, Oak, Pine, and Willow. A…

A: Given that Number of streets =7 Number of trees =7 Tree types  Ash, Elm, Fir, Maple, Oak, Pine, and…

Q: Jennifer has 25 books on her bookshelf. She has 10 fiction books, and the rest are non-fiction…

A: Given,no.of fiction books=10no.of non fiction books=15total no.of books=25

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.