Suppose we define A as the event of obtaining {1, 3, 5}, and event B as the set {1,5,6}. (a) Are events A and B mutually exclusive events? Why or why not? (b) Are events A and B independent events? Why or why not? (c) What are the complements of events A and B, respectively, and their probabilities?

Suppose we define A as the event of obtaining {1, 3, 5}, and event B as the set {1,5,6}. (a) Are events A and B mutually exclusive events? Why or why not? (b) Are events A and B independent events? Why or why not? (c) What are the complements of events A and B, respectively, and their probabilities?

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...

See similar textbooks

Similar questions

Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8 What’s P(A) with a little c on top equal to ? What’s P(B) with a little c on top equal to? Are A and B mutually exclusive? Why or why not ? Are A and B independent ? Why or why not ?
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?
Can someone please explain it to me why last answer is wrong???!!!
If two events, A and B, are independent then which of the following does not have to be true? (1) P(A)= P(A|B) (2) P(A and B) = P(A)·P(B) (3) P(A)+ P(B)=1 P(A and B) P(A) (4) P(B) =
Determine if events A and B are independent. 7 P(A and B) 20 7 13 P(B) : 20 13 P(A and B) 20 169 4) = P(B) = 2) P(A) = 100 400 7 3) Р(A) %—D 10 P(B) = 5 21 1 P(B) 1 P(A and B) 5 1 P(A and B) 4) Р(A) — 100 25
Guadalupe plays a game where she draws one card from a well-shuffled standard deck of 52 cards 2. She wins the game if the card she draws is a King or an Ace Are the two events mutually exclusive? O There is not enough information to determine if the two events are mutually exclusive. O The two events are mutually exclusive. O The two events are not mutually exclusive. What is the probability that Guadalupe wins the game? What is the probability that Guadalupe loses the game?
If P (not B) = 0.55, P (A ∪ B) = 0.75, and A and B are independent events, then find p (A)
1. If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. * true false
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