### Probability Questions for Educational Practice#### Coin Flipping Probability**Question 17:**Let's suppose someone flips a fair coin three times.1. **How many outcomes are possible?** - There are 2 outcomes for each coin flip (Heads or Tails). Therefore, flipping a coin three times results in $2^3 = 8$ possible outcomes.2. **What is the probability of getting exactly one tail? Give as a fraction.** - The possible outcomes with exactly one tail are: HTT, THT, TTH. There are 3 such outcomes. Since there are 8 possible outcomes in total, the probability is $\frac{3}{8}$.3. **What is the probability of getting at most two tails? Give as a fraction.** - Getting at most two tails means getting 0, 1, or 2 tails. The possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH. There are 7 favorable outcomes. The probability is $\frac{7}{8}$.#### Dice Rolling Probability**Question 18:**Consider the following experiment: roll a pair of fair dice and observe the sample space. Answer the following questions based on the above sample space.1. **What is the probability of obtaining a total score (sum of the faces of both dice) of 11?** - The possible outcomes with a total score of 11 are (5,6) and (6,5), which are 2 favorable outcomes. Since there are 36 possible outcomes when rolling a pair of dice (6 sides each, so $6 \times 6 = 36$), the probability is $\frac{2}{36} = \frac{1}{18}$.2. **What is the probability of obtaining a total score of 9?** - The possible outcomes with a total score of 9 are (3,6), (4,5), (5,4), and (6,3), which are 4 favorable outcomes. Therefore, the probability is $\frac{4}{36} = \frac{1}{9}$.**Instructions:**Click "Save and Submit" to save and submit your answers. Click "Save All Answers" to save all answers.### Weather Information:- 74°F

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QUESTION 17 Let's suppose someone flips a fair coin three times. 1. How many outcomes are possible? 2. What is the probability of getting exactly one tail? Give as a fraction 3. What is the probability of getting at most two tails? Give asa fraction

QUESTION 17 Let's suppose someone flips a fair coin three times. 1. How many outcomes are possible? 2. What is the probability of getting exactly one tail? Give as a fraction 3. What is the probability of getting at most two tails? Give asa fraction

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...

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