Summary

This document contains a set of probability problems for a mathematics class. Questions include finding probabilities based on surveys and examples involving birthdays, genders, and multiple choice questions.

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Section 4.1 Collected Work Name: ________________________ Instructions: Show your work neatly and systematically for full credit. Use proper probability notations. Total points: 10 1. (2) In a survey of 3000 adults, it was found that 510 of the r...

Section 4.1 Collected Work Name: ________________________ Instructions: Show your work neatly and systematically for full credit. Use proper probability notations. Total points: 10 1. (2) In a survey of 3000 adults, it was found that 510 of the respondents do not carry any cash. Based on these results, what is the probability that a randomly selected adult carries no cash? 2. (2) Birthday problems: Exclude leap years from the following calculations and assume each birthday is equally likely: a. Find the probability that a randomly selected person has a birthday on the 1st day of a month. b. Find the probability that a randomly selected person has a birthday on the 31st day of a month. 3. (2) In a survey of 1100 female adults, 341 volunteered at least once in the past pear. What is the probability that a randomly selected adult female volunteered at least once in the past year? 4. (2) Find the odds against correctly guessing the answer to a multiple-choice question with 5 possible answers. 5. (2) A couple has 4 children. a. Identify the sample space for the genders from four births (Draw a tree diagram to help you list all possible outcomes). b. Find the probability of getting 3 girls and 1 boy (in any order).

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