Ex-2 in Ex-1 (b), write down the following events, that is, write down the correspondingsubsets of the sample space:(a) A = the event of getting at most one tail;(b) B = the event of getting exactly 3 tails;(c) C = the event of getting at most one head;(d) Interpret the events (i): A N B, (ii): A U B, (iii): AN C, (iv): A U C, (v): A° , (vi): (A UC)° , (vii): (A N C)c.

We have given the following events 3 coins tossed. Sample space = 8

Answered: Ex-2 in Ex-1 (b), write down the…

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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2. (a) What are the possible outcomes when a couple has birthed three children (that is, write down the appropriate sample space, “bbb," “bbg", and so forth). (b) Find the probability of each event (that is, compute P(A), P(B), P(C), and P(B or C)): A: Among three children, there are exactly 0 boys. B: Among three children, there are exactly 3 girls. C: Among three children, there are exactly 2 girls. B or C: Among three children, there are either exactly 3 girls or exactly 2 girls.
Mike Danes has been delayed in going to the annual sales event at one of his favorite apparel stores. His friend has just texted him that there are only 20 shirts left, of which eight are in size M, 10 in size L, and two in size XL. Also nine of the shirts are white, five are blue, and the remaining are of mixed colors. Mike is interested in getting a white or a blue shirt in size L. Define the events A = Getting a white or a blue shirt and B = Getting a shirt in size L. Find P(A), P(Ac), and P(B)
You randomly select two poker chips from a bag containing 7 poker chips: 4 red, 1 blue, 1 green, and 1 white. Compute the following events: Event A: You select a green poker chip Event B: You select two poker chips that are the same color. Is the following statement true or false? Events A and B independent.
30 Adults were asked which brand of ice cream they prefer and if they rather eat it in a cup or cone. Use the table below to answer the questions. (P) Cup (E) Cone (A) Brand A 2 6 Select all that apply. Which two events are independent? (B) Brand B 3 6 None of the two events are independent P and C P and B P and A A and B (C) Brand C 5 8 4
A high school gym class is being divided up into two teams to play a game of basketball. The teacher descides to draw names out of a hat to determine who will be on each team. Choose the best statement to describe how players are chosen. O This is an example of dependent events with replacement. O This is an example of dependent events with no replacement. O This is an example of independent events with replacement. O This is an example of independent events with no replacement.
Let A and B be two events in the sample space ( S ) , with P ( A ) = 0.72 , P ( B ) = 0.68 and , P ( A U B ) = 0.80 , then find the value of P ( A | B )
A cell phone salesperson has kept records on the customers who visited his store. Forty percent of the customers who visited the store were female. Furthermore, the data show that 35% of the females who visited his store purchased a cell phone, while 20% of the males who visited his store purchased a cell phone. Let A1 represent the event that a customer is a female, A2 represent the event that a customer is a male, and B represent the event that a customer will purchase a phone.What is the probability that a female customer will purchase a cell phone?
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If P(A)=0.6, P(B) = 0.5, P(AUB) =0.9, then A andB are mutually exclusive events. Select one: OTrue OFalse PAGE
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12 Given P(A and B) = 0.94, P(A) = 0.98, and P(B) = 0.96 are events A and B independent or dependent? 1) Independent 2) Dependent
Let A and B be two events in the sample space ( S ) , with P ( A ) = 0.72 , P ( B ) = 0.68 and , P ( AUB ) = 0.80 , then find the value of P ( A | B )

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