Prove that n(n + 1)(n + 2) is always divisible by 6

Q: Odds and probability/chance mean the same thing.  True False

A: Probability =Total no. of fav. outcomesTotal no. of outcomes

Q: 16 The probability that an event will happen is P(E) = 19 Find the probability that the event will…

A: Given The probability that an event happen is P(E)=1619 Result: For any event A is a subset of…

Q: Selecting Marbles A bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. Randomly choose…

A:

Q: Example There are 3 red balls and 4 blue balls in a box. Two draws are taken from the box with…

A: Number of red balls = 3Number of blue balls = 4Total balls = 3+4 = 7

Q: Drawing three aces in a row from a standard deck of cards when the drawn card is returned to the…

A: Here, we need to find the probability of drawing 3 aces in a row from a thoroughly shuffled deck…

Q: The random digits generated by a computer program are randomly generated. false true

A: computers are been programmed in such away to avoid randomness in its results. There is a starting…

Q: How many 4-digit numbers can we generate using digits 1,2,...,7? 1. If the numbers should be ≤ 5000…

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Q: The following excerpt is from an article in The New York Times in July 1999. While statistics are…

A: In this solution we are given that the data is shown about the entreprenuership and the overview of…

Q: Weather Suppose that it snows in Greenland an average of once every 30 days, and when it does,…

A: Psnowing=130 Pgrowing | snowing=0.25 Pgrowing | no snow=0.08

Q: Imagine you have an urn containing 2 red, 3 blue, and 6 orange marbles in it. (a) What is the…

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

Q: In probability blank is any process that can be repeated in which the results are unce

A: Here the given statement is In probability ________ is any process that can be repeated in which the…

Q: conditional probability: a deck of cards a) P (2/diamonds) without replacement b) P(2/2) with…

A: We are given a deck of cards. And now we need to find the value of

Q: Which of the following is a method of counting events? (A) addition (B) multiplication (C)…

A: In the realm of probability and statistics, methods for counting events are critical in determining…

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 5?…

A: Note: Since algorithm is computer subject, only Probability question is to be solved. Kindly re…

Q: Sports The following table shows the results of a football competition.t Team Nebraska (NU) Oklahoma…

A: The given data is: Team Won Lost Nebraska (NU) 6 0 Oklahoma (OU) 5 1 Oklahoma State (OSU) 4…

Q: Expected Winnings in a Lottery A small lottery sells 1000 tickets numbered 000, 001, ...,999; the…

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Q: The contingency table below summarizes a survey of 1,000 bottled beverage consumers. P(Recycles)…

A: Solution To find the probabilities we will use conditional probability rule.

Q: Probability Question: You shuffle a standard deck thoroughly to get a random arrangement of the 52…

A: It is required to determine whether it is likely that the particular arrangement has been achieved…

Q: A lottery game requires that you pick 7 different numbers from 1 to 59. If you pick all 7 winning…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Basic Computation: Probability as Relative Frequency A recent Haris Poll survey of 1010 U.S. adults…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: An experiment consists of tossing 3 fair (not weighted) coins, except one of the 3 coins has a head…

A: