M.4HSTP.34

Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. (e.g., Find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.)

Example Problems
How many unique ways are there to arrange the letters in the word BALLOON?
How many unique ways are there to arrange the letters in the word COMMITTEE?
How many numbers between 1 and 100 (inclusive) are divisible by 4 or 5?
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