A group of three friends A, B and C wants to participate in a triathlon. They have to assign whoswims, runs and bikes. Each member has to occupy exactly one position. Write the sample spaceassociated with these selections. What is the event that member A starts the race (i.e. will swim)?Let A, B, C be three arbitrary events on a sample space (2,S). What is the event that only Aoccurs? What is the event that at least two of A, B, C occur? What is the event that both A andC, but not B, occur? What is the event that at most one of A, B, C occurs?

Answered: Image /qna-images/answer/6d80e6ed-0651-467c-ba47-6b004943e158.jpg

Answered: A group of three friends A, B and C…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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please explain this process and set up.
A sample space contains seven simple events: E,, E,, ..., E,. Use the following three events-A, B, and C. = {E,, E2 c= {E, E;} A = B = List the simple events in the following. (Enter your answers as a comma-separated list.) both A and B
You flip five coins and tally up the number of heads and tails. (You do not record the individual coin tosses.) a.) Describe the elements of the sample space in this experiment. (There should be 6.) b.) Let A be the event "a majority of the coins landed heads". List the elements of A. c.) Give an example of an event B in this experiment which is disjoint from A.
A sample space contains seven simple events: E,, E,, ..., E,. Use the following three events-A, B, and C. B = {E, E, E, E;} c={E, E;} A = 4' List the simple events in the following. (Enter your answers as a comma-separated list.) not A
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. After identifying the sample space for a couple having four children, find the probability of getting onegirland threeboys (in any order). A. Identify the sample space for a couple having four children. ? (Use a comma to separate answers as needed.) B. Find the probability of getting one girl and three boys (in any order)? (Typean integer or a decimal. Do not round.)
A committee of 2 people is to be selected from 4 executives, Alam, Bartolini, Chinn, and Dickson. Write out the sample space S, choosing an S with equally likely outcomes, if possible. Then give the value of n(S) and tell whether the outcomes in S are equally likely. Finally, write the indicated events below in set notation. a. Dickson is on the committee. b. Bartolini and Dickson are not both on the committee. c. Both Bartolini and Chinn are on the committee. What is the sample space? Use the first initial of each executive to write the events. A. S={BA, BD, CA, CD, BC} B. S={AB, AC, AD, BC, BD, CD} Your answer is correct. C. S={AB, AC, BC} D. S={A, B, C, D} The value of n(S) is 66. Are the outcomes equally likely?
None
The 52 cards in a standard deck of playing are described below. There are 4 suits: Spades, Hearts, Diamonds, and Clubs. Within each suit, there are 13 ranks: A,K,Q,J,10,9,8,7,6,5,4,3,2 If 5 cards are dealt, what is the probability of getting 2 cards of the same rank and 3 unmatched cards? Write 9 digits to the right of the decimal point in your answer. Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer
The letters in the given list are written on tiles, one letter per tile. A, B, C, F, G, I, K, L, O, P, Q, T, V, W, X, Z The 16 tiles are placed in a bag and one is drawn randomly. Determine the probability of specific events using this situation. The probability of drawing any one of the letters is: The probability of drawing either an "F" or "P" tile is: The probability of drawing a vowel is: The probability of not drawing a "Q" tile is:
when a single die is thrown, it has 6 outcomes since it has 6 faces. what is the sample space ?
4- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.

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