Practice Test
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the expected value in probability?
Back
The expected value is the average outcome of a random variable, calculated as the sum of all possible values, each multiplied by its probability of occurrence.
2.
FLASHCARD QUESTION
Front
How do you calculate the number of outfits possible with multiple clothing items?
Back
Multiply the number of options for each clothing item. For example, with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, the total outfits = 5 * 8 * 2 = 80.
3.
FLASHCARD QUESTION
Front
What is standard deviation?
Back
Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation means they are spread out over a wider range.
4.
FLASHCARD QUESTION
Front
How do you write a probability distribution?
Back
A probability distribution lists all possible outcomes of a random variable and their corresponding probabilities, ensuring that the total probability sums to 1.
5.
FLASHCARD QUESTION
Front
How do you calculate permutations for selecting officers from a group?
Back
Use the formula n! / (n - r)!, where n is the total number of items to choose from, and r is the number of items to choose. For selecting a president, vice president, and secretary from 5 people, it is 5! / (5 - 3)! = 60.
6.
FLASHCARD QUESTION
Front
What is the formula for expected value in a game of chance?
Back
Expected Value (EV) = (Probability of Winning * Amount Won) + (Probability of Losing * Amount Lost).
7.
FLASHCARD QUESTION
Front
What is the difference between combinations and permutations?
Back
Permutations consider the order of selection important, while combinations do not. For example, selecting 3 people from a group of 5 is a permutation if order matters and a combination if it does not.
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