AI Generated: US president math
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Last updated about 2 years ago
15 questions
Formative Generation Completed!
1
What is the probability that a randomly chosen US president will be a Democrat assuming there have been 45 presidents, 15 of which were Democrats?
What is the probability that a randomly chosen US president will be a Democrat assuming there have been 45 presidents, 15 of which were Democrats?
1
If we randomly select 5 presidents out of the 45, what's the probability that at least one will be a Democrat?
If we randomly select 5 presidents out of the 45, what's the probability that at least one will be a Democrat?
Required
1
In a set of 45 presidents, if 15 are Democrats, the probability of randomly drawing 3 Democrats in a row is (15/45)*(14/44)*(13/43).
In a set of 45 presidents, if 15 are Democrats, the probability of randomly drawing 3 Democrats in a row is (15/45)*(14/44)*(13/43).
Required
1
What is the probability that the next president will be a Republican if 50% of the past 10 presidents have been Republicans?
What is the probability that the next president will be a Republican if 50% of the past 10 presidents have been Republicans?
1
Which of following are valid probability distributions for the party (Republican/Democrat/Other) of a randomly chosen president: A) [0.4, 0.4, 0.2], B) [0.3, 0.3], C) [0.5, 0.6, -0.1], D) [0.5, 0.5, 0]
Which of following are valid probability distributions for the party (Republican/Democrat/Other) of a randomly chosen president: A) [0.4, 0.4, 0.2], B) [0.3, 0.3], C) [0.5, 0.6, -0.1], D) [0.5, 0.5, 0]
1
If 9 out of 45 Presidents have completed two terms, what is the probability of a new President completing two terms given these historical numbers?
If 9 out of 45 Presidents have completed two terms, what is the probability of a new President completing two terms given these historical numbers?
1
If there have been 16 Republican presidents, 15 Democratic presidents, and the rest are from other parties, what's the probability of randomly picking a president from another party?
If there have been 16 Republican presidents, 15 Democratic presidents, and the rest are from other parties, what's the probability of randomly picking a president from another party?
1
If we have no information about the party of future Presidents, we can say the probability of the next President being a Democrat is 50%
If we have no information about the party of future Presidents, we can say the probability of the next President being a Democrat is 50%
1
What is the probability that exactly 2 out of the next 3 Presidents will be Democrats, based on historical data that shows 15 out of 45 past Presidents have been Democrats?
What is the probability that exactly 2 out of the next 3 Presidents will be Democrats, based on historical data that shows 15 out of 45 past Presidents have been Democrats?
1
Given that 5 of the last 10 Presidents have been Democrats, select the following statements that are true: A) The probability of the next President being a Democrat is 50%, B) The probability of the next two Presidents being Democrats is 25%, C) The probability that at least one of the next two Presidents will be a Democrat is 75%, D) None of the above.
Given that 5 of the last 10 Presidents have been Democrats, select the following statements that are true: A) The probability of the next President being a Democrat is 50%, B) The probability of the next two Presidents being Democrats is 25%, C) The probability that at least one of the next two Presidents will be a Democrat is 75%, D) None of the above.
Required
1
Assuming a two party system with equal popularity, what is the probability that Republicans will win two consecutive Presidential elections?
Assuming a two party system with equal popularity, what is the probability that Republicans will win two consecutive Presidential elections?
Required
1
In a two-party system with equal popularity, we elect 2 Presidents in a row. What's the probability that one will be a Democrat and the other a Republican?
In a two-party system with equal popularity, we elect 2 Presidents in a row. What's the probability that one will be a Democrat and the other a Republican?
1
The probability that the next president is not a Democrat is equal to 1 minus the probability that the next President is a Democrat. Is this statement true?
The probability that the next president is not a Democrat is equal to 1 minus the probability that the next President is a Democrat. Is this statement true?
1
What is the probability that out of the next 4 Presidents, exactly 2 will be Democrats, assuming an equal chance of a President being from either party?
What is the probability that out of the next 4 Presidents, exactly 2 will be Democrats, assuming an equal chance of a President being from either party?
1
Consider a future where there are three equally popular political parties. Select the correct statements: A) The probability of one of them winning the next election is one third, B) The probability of any one particular party winning the next three elections in a row is (1/3)^3, C) Having more parties decreases the probability of any one particular party winning, D) All of the above.
Consider a future where there are three equally popular political parties. Select the correct statements: A) The probability of one of them winning the next election is one third, B) The probability of any one particular party winning the next three elections in a row is (1/3)^3, C) Having more parties decreases the probability of any one particular party winning, D) All of the above.