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).

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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…

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

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

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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…

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

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A:

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.

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A: Simple event :  Simple event has a single outcome

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

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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.