Question 5Assume Heads and Tails are equally likely. Write down the sample space of outcomes when flipping a fair coin three times.1. Use the sample space to calculate the probability of exactly 3 Heads in 3 flips ( Select]2. Use the sample space to calculate the probability of at least 2 Tails in 3 flips[ Select)

The number of times flipping a coin is 3. The possible outcomes when tossing a coin 3 times are:…

Answered: Assume Heads and Tails are equally…

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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25. A couple has three children and X is the number of boys. a. List the elements in the sample space (outcomes). b. List the values for X for each of the outcomes. c. Find the probability distribution for X. P(X = x)
Jean and Paul play three games of pool.They are equal in ability. 1. Find the sample space using a tree diagram to show the possibilities Jean and Paul have to win games. 2. What is the probability that either Jean or Paul wins all three games? Write the number of ways either Jean or Paul wins all three games.(Refer to sample space) 3. What is the probability that either Jean or Paul wins two out of three games? Write the number of ways either Jean or Paul wins two out of three games.(Refer to sample space)
Question 1Suppose we have an experiment that consists of flipping a coin 5 times.i. Find the total number for the outcomes for this experiment? ii. List all the elements in the sample space?iii. Find the probability that tails will be occurring at least 2 times on three coin flips?iv. Find the probability of getting all Head and all Tail on five coin flips?Question 2A bag has 10 blue balls and 5 red balls. 2 balls are to be drawn successively and without replacement. What is the probability that the first ball is red and the second is blue?Question 3Two coins are loaded so that each comes up heads 80% of the time when tossed. If the coins are both tossed simultaneously, i. What probability will the result be both are Tail?ii. What probability will the result give Head and Tail?
7. Find the probability of getting exactly four heads on seven flips of a fair coin.
9. Approximately 75% of statistics students do their homework on time for it to be collected and graded. Eight students were randomly selected. Use the binomial distribution to answer the questions. a) Find the probability that one student did their homework on time. b) Find the probability that at least 7 students did their homework on time.
7) Four students will be randomly selected from the six top students in mathematics to represent their school in a regional competition. Angela and Brian are among the six students, and they wish to determine the probability that they will both be chosen. Describe (list) the sample space for determining this probability. What is the probability they will both be chosen?
Suppose we toss a fair coin, with a head (H) on one side and a tail (T) on the other side, four times. a. Specify the sample space. b. Find the probability of obtaining exactly four heads. c. Find the probability of obtaining at least three head.
2. Three guests to a tea party sit down in three chairs. Then the host re-arranges them according to a pre-made seating chart What is the probability that all of the guests may stay in their chairs? (b) What is the probability that at least one guest may stay in her chair? Hint: Just write down all the sample points. Don't try to use counting rules.
List the sample space and tell whether the events are equally likely. Roll a fair 6-sided die; record the number. {1, 2, 3, 4}, equally likely {1, 6}, not equally likely {1, 2, 3, 4, 5, 6}, not equally likely {1, 2, 3, 4, 5, 6}, equally likely {1, 6}, equally likely
Mai chooses a letter at random from the word DREAM, then flips a fair coin. 1. Write all the possible outcomes in the sample space. 2. What is the probability that Mai chooses the letter D and the coin lands on tails?
the sample space listing the eight sample events that are possible when a couple has a 3 children is?
5) A couple plans to have four children. Using a tree diagram, obtain the sample space. Then, find the probability that the family has no boys.

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