Richard has just been given a 10 question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guessing on all 10 questions, find the indicated probabilities. c) What is the probability that he will answer at least one of the questions correctly?  d) What is the probability that Richard will answer at least half the questions correctly?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Richard has just been given a 10 question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guessing on all 10 questions, find the indicated probabilities.

c) What is the probability that he will answer at least one of the questions correctly? 

d) What is the probability that Richard will answer at least half the questions correctly?

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