Question: Please answer with FULL SOLUTIONS and explanations. Thanks 161 If you and two friends all randomly answered a multiple choice question that had 4 choices,

Please answer with FULL SOLUTIONS and explanations.

Thanks

161 If you and two friends all randomly answered a multiple choice question that had 4 choices, what is the chance that your two friends both got it right and you got it wrong?

162 What does the Normal Distribution Graph look like?

163 Given a two-way table with four rows and three columns, which formula is used to compute the number of Degrees of Freedom (DF) to conduct a Chi-Square Test of Association/Independence?

164 In a certain subcategory, the ratio of normal quizzes to photo quizzes is 4:1. What is the chance that a quiz picked at random will be a photo quiz?

165 You're playing Monopoly with one red die and one blue. You are sitting in the Just Visiting section of the Jail square. How many different combinations of rolls will allow you to end your turn on Free Parking which is ten squares away? For the purposes of this question, a 3 with the red die and a 2 with the blue die is a different combination than a blue 2 and a red 3. Remember that if you throw doubles you move the amount of the doubles and then have to throw again unless it is your third throw in which case you go to Jail.

166 This is question 9 on this quiz. It is in Sci/Tech, which is the 16th category on FunTrivia alphabetically. There are 4 answer choices to this question, 1 of which is correct, and 3 of which or incorrect. What is the mode of those digits (9, 1, 6, 4, 1 and 3)?

167 In poker (played with a regular 52 card deck), a royal flush is when you have a ten, jack, queen, king, and ace all of the same suit. If a man is playing five card stud poker (where you are dealt five cards and can not draw more), what is the probability that he will be dealt a royal flush?

171 There are seven cups of tea. Two among them contain a deadly poison that acts within an hour. You and I both drink one cup simultaneously. How big is the chance that we both survive?

172 Suppose E and F are events in a sample space S. Suppose further that E has probability .8 and F has probability .9. What is the largest possible value for the probability of the intersection of E and F?

173 Suppose two cards are drawn from a standard 52 card deck without replacement (which means when we draw a card, we don't put it back). Assuming all cards are equally likely to be selected, what is the probability that both cards are not aces?

174 A toy factory generates cubes with a random color (red or blue) on each side. You buy 7 of the cubes and all your cubes have a different number of blue squares. You select one of your cubes at random and happen to pull up a cube showing only one side, which is red. What is the probability that at least two other squares are also red?

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