In Exercises 1-6, say how many elements are in the samplespace S, list the elements of the given event E, and compute theprobability of E.2. Four coins are tossed; the result is fewer heads than tails.3. Two distinguishable dice are rolled; the numbers facing upadd to 7.

Note: Questions 2 and 3 are two different questions. As per the answering guidelines I have to…

Answered: In Exercises 1–6, say how many elements…

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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A bowl of candy contains 21 green, 8 white, and 16 orange candies. TWO candies are randomly selected from the bowl. d) Find the number in the sample space of this experiment. n(S)= ? Write your answer as a whole number. e) Find the probability of event E: selecting 1 white candy and 1 orange candy. p(E)= ? Write your answer as a percent rounded to one decimal place.
In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off-campus a.What is the probability a randomly selected student lives off-campus? b. What type of probability (theoretical, empirical, or intuitive) did you use to determine your answer?
The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. a. Determine the probability that the sum of the dice is 12. The probability that the sum of the dice is 12 is (Type an integer or a decimal. Round to three decimal places as needed.) b. Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 4 or 11. The probability that the sum of the dice is 4 or 11 is (Type an integer or a decimal. Round to three decimal places as needed.) d. Determine the probability that the sum of the dice is 5, 6, or 8. The probability that the sum of the dice is 5, 6, or 8 is (Type an integer or a decimal. Round to three decimal places as…
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.
To win a game an individual must roll a 3 with a 4-sided die. To win the grand prize the player has 4 attempts to roll a 3. a. On which roll is the individual most likely to successfully roll a 3? b. What is the probability that the individual won the prize? c. If the player won the prize, what is the expected number of rolls taken?
17)
A fair dice is rolled four times. What is the probability of obtaining a 3,2,3 and 3 in that order?
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?
A bag containing 16 balls - 4 red, 7 green, 3 yellow, and 2 blue. Four balls are selected. a. What is the probability that all balls are green? b. What is the probability that exactly two of the balls are green? c. What is the probability that none of the balls are yellow? d. What is the probability that all of the balls are blue?

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In Exercises 1–6, say how many elements are in the sample space S, list the elements of the given event E, and compute the probability of E. 2. Four coins are tossed; the result is fewer heads than tails.