Back to Develop a theoretical probability distribution — Problem 1 · Task Set 29

Exercises: Develop a Theoretical Probability Distribution and Find Its Expected Value

Work through each section in order. Show your work where indicated. When you build a probability, separate "the probability of one specific sequence" from "the number of arrangements" that produce that result. Keep fractions over a common denominator so your sum-to-1 check is easy to read.

Grade 11·24 problems·~45 min·Common Core Math - HS Statistics and Probability·group·hss-md-a-3

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Recall / Warm-Up

On a multiple-choice test each question has four choices and a guesser is correct with
probability $\frac{1}{4}$ . The questions are independent. What is the probability of getting
the first two specific questions both correct?

$\frac{1}{4} + \frac{1}{4} = \frac{1}{2}$

$\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$

$\frac{1}{4}$

$\frac{2}{4} = \frac{1}{2}$