Exercise 5 Suppose there are n students in this class. We are interested in the probability of the event A that at least two students have the same birthday. For simplicity, we assume that no student was born on February 29 and that all students were born independently of each other (no twins!). We also assume that each day in the year is equally probable for a birthday. (a) The instructor asks all students for their birthdays. How many possible outcomes are there? (b) Describe in words what A' means. (c) Compute P(A') in dependence of n.

Q: A B 24 12 17 6. 16 14 38 13 How many elements are in (4 UB)nC? 75 39 9. 14

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Q: Match the following quadratic functions to their graphs. 2z? - 5z + 1 -2x + 5z + 1 21 + 5z +1

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Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red}. Find the number indicated. n(A x C x C)

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Q: et A = {m, 4, 2, 13}, B = {1, 2, 4, 13, -2} and C = {1,3,5,7,9} Find AUB. Find ANC. Find (AUC)NB.

A: From the given data we should find  A∪B,A∩C   and (A∪C)∩B1) AUB Means all the elements written…

Q: The following table shows the change of the average weekly temperature in two different regions over…

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Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = n(A x A x C) T {red, green, blue}. Find the number…

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Q: Evaluate dz. 23 x2+1

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Q: 5. Review (NC.7.NS.3) Courtney bought 3 packages of peanuts. Each package weighed 22 pounds. When…

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Q: on 8 1 0 A = 1 0 1 B= 1 0 : Let and A OB= ?

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Q: None

A: A∩B={5,6}

Q: Refering to Figure 1, b. a C Figure 1

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Q: e following could

A: The graph shows a linear graph.

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8}, let B = {2, 3, 5, 7, 11} and let C = {1, 3, 5, 7, 9}. Find (A U B)…

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Q: -42 20 00 2 3 10 3 102 303 Evaluate D.

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Q: Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land…

A: Hello there! there are more than three sub parts in the question. according to our policies cannot…

Q: C. 11 10

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Q: 4 7 9 2 а. 3 C. 3 3 9 8 2 b. d. 3 3

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: can you do parts d,e,f aswell please

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Q: What is the five-number summary for this data set? 4, 6, 10, 13, 18, 28, 34, 46, 50, 58 Assume the…

A: Given that: Data set  4,6,10 13,18,28,34,46,50,58. Five number summary is

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.