Give fractions that express the probability of the events (a) Getting a tail in the flip of a fair coinThe probability is_-- (b) Drawing a six from a deck of cards, The probability is_. (c) Rolling an even number on a 8-sided die The probability is (d) Drawing a blue marble from a bag that contains 15 red, 30 blue, and 40 green marbles The probability is- (e) Drawing either a blue or a green marble from the bag of marbles described in part (d) The probability is_

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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On this educational website page, we will explore basic probabilities through a series of examples. Probabilities are represented as fractions to express the likelihood of various events occurring. Here are some specific scenarios:

**Give fractions that express the probability of the events:**

1. **Getting a tail in the flip of a fair coin**
   - The probability is ____

2. **Drawing a six from a deck of cards**
   - The probability is ____

3. **Rolling an even number on an 8-sided die**
   - The probability is ____

4. **Drawing a blue marble from a bag that contains 15 red, 30 blue, and 40 green marbles**
   - The probability is ____

5. **Drawing either a blue or a green marble from the bag of marbles described in part (d)**
   - The probability is ____

By analyzing these problems, students will gain a better understanding of how probability functions in different contexts. Each part of the problem involves calculating the probability for a different event, considering the total number of possible outcomes and the number of favorable outcomes. Detailed solutions would include not only the final probabilities but also explanations of how those probabilities are determined.
Transcribed Image Text:On this educational website page, we will explore basic probabilities through a series of examples. Probabilities are represented as fractions to express the likelihood of various events occurring. Here are some specific scenarios: **Give fractions that express the probability of the events:** 1. **Getting a tail in the flip of a fair coin** - The probability is ____ 2. **Drawing a six from a deck of cards** - The probability is ____ 3. **Rolling an even number on an 8-sided die** - The probability is ____ 4. **Drawing a blue marble from a bag that contains 15 red, 30 blue, and 40 green marbles** - The probability is ____ 5. **Drawing either a blue or a green marble from the bag of marbles described in part (d)** - The probability is ____ By analyzing these problems, students will gain a better understanding of how probability functions in different contexts. Each part of the problem involves calculating the probability for a different event, considering the total number of possible outcomes and the number of favorable outcomes. Detailed solutions would include not only the final probabilities but also explanations of how those probabilities are determined.
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