Counts thenumber of1.A couple plans to have three children.occurrences of an Construct a tree diagram and list theoutcome in ansample space.experiment: (a)Find the probability the couple has:a) Two girlstable; (b) treediagram; (c)systematic listing;(d) fundamentalcounting principleb) At least one girlc) A girl then a boyDay 3A coin tossed thrice. What is theprobability of having two heads and a tail?Use a table showing the outcomes.

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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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For each of the following, list the sample space and tell whether you think the events are equally likely: a) Roll two dice; record the sum of the numbers b)A family has 3 children; record each child's sex in order of birth c) Toss four coins; record the number of tails d) Toss a coin 10 times; record the length of the longest run of heads a) Identify the sample space. Choose the correct answer below. O A. S={1,2, 3, 4, 5, 6} O B. S={1, 2, 3, 4, 5, 6} and {1, 2, 3, 4, 5, 6} O C. S={2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} O D. S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} The events V equally likely. b) Identify the sample space. Choose the correct answer below. O A. S={BBG, BGB, BGG, GBB, GBG, GGB} O B. S={BBB, GGG} O C. S={BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG} O D. S= {BBB, BBG, BGG, GGG} The events equally likely. c) Identify the sample space. Choose the correct answer below. O A. S= {0, 1, 2, 3} O B. S={0. 1. 2. 3. 4} Statcrunch
5. In a group of students, there are 3 girls (Amy, Asha, and Barb) and 3 boys (Len, Moe, and Max). a. Draw a tree diagram for selecting 1 boy and 1 girl from the group. b. From the tree diagram, list the sample space. How many possible outcomes are there? c. Using this sample space, find the probability that: (1) the girl's name begins with A (2) the boy's name begins with M (3) the girl's name begins with C (4) the boy's name does not begin with M (5) the girl's name begins with B and the boy's name begins with M (6) the girl's name begins with C and the boy's name begins with L
13. Heather is interested in determining the probability that a randomly selected card from a standard deck of 52 will be a club. She reasons that the deck contains clubs (C), spades (S) diamonds (D), and hearts (H). She constructs the sample space S = (C,S,D,H). Determine if the sample points are equally likely or not equally likely.
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)
a as a list b as a table c as a tree diagram 4 Four cards marked 6, 7, 8 and 9 are in a hat. One card is drawn out and placed on a table. This is to be the tens digit of a two-digit number. Another card is then drawn out of the hat and placed beside the first card to complete the number. a Draw a tree diagram to show the sample space of this experiment. b How many outcomes are in the sample space? c If the cards are drawn at random, what is the chance of getting the number 78?
A box contains two black stones and four white stones. One is randomly selected and not replaced before another is randomly selected. a) Draw a tree diagram to show all the possible outcomes. b) Calculate the probability of selecting: i. A black stone and a white stone, in that order. A black stone and a white stone, in any order. ii. iii. At least one black stone.
Saroj surveyed his classmates to find the number of children in each family. He displayed the data in a graph. A) How many students are in Saroj's class? B) Each student writes the number of children in her or his family on a slip of paper, and places it in a bag. Saroj draws one slip without looking. Find each probability. i) Saroj draws the number 4 ii) Saroj draws the number 6 iii) Saroj draws the number 2. (use fractions) * X X X x x X X XxX 0123456 7 8
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.
a. Find the sample space using a tree diagram to show the possibilities Elaine has to choose a mattress. b. What is the probability that Elaine chooses a memory foam-topped mattress? Write the number of ways Elaine chooses a memory foam-topped mattress. (Refer to sample space)
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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1.A couple plans to have three children. Construct a tree diagram and list the sample space. Find the probability the couple has: a) Two girls b) At least one girl c) A girl then a boy