Answered: If P(A or B) = P(A)+ P(B) then the…

If P(A or B) = P(A)+ P(B) then the event A and B are Independent events dependent events Not mutually exclusive event Mutually exclusive events

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

Related questions

Q: Which pairs of events are independent? (a) P(A) = 0.46, P(B) = 0.57, P(A∩B) = 0.25. A and B are…

A: In probability theory, two events are said to be independent if the occurrence of one does not…

Q: Let A and B be independent events, with P (A) = 1/2 and P (B) = 1/2. Read statements (a) through…

A: Let and be independent events. and

Q: If P(En F). 0.08, ΡΕF) 0.32, and PFE) : 0.8, then %3D (a) P(E) = (b) Р(F) — (c) P(EU F) =

A: We have given that P(E and F) = 0.08, P(E/F) = 0.32 and P(F/E) = 0.8

Q: If E and F are events in a probability space with IP(E) + 0, P(F) 7 0, and P(E|F) = P(F|E) then E…

A: We want to tell you above statement is true or false

Q: Disjoint vs. independent. In parts (a) and (b), identify whether the events are disjoint,…

A: Given : Three situation : (a) You and a randomly selected student from your class both earn A’s in…

Q: True or false? If A and B are two events with A ⊂ B and P(A ∪ B) = P(A) + P(B), then P(A) > 0

A: Solution: We have to determine if the below statement is true or false:If A and B are two events…

Q: If A and B are two mutually exclusive events with P(a) > O and P(b) > 0 then it implies they are…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive. Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: 3 A construction firm has bid on two projects. The probability of getting the first project is 0.35…

Q: Theorem 2.5 Multiplicative Laws of Probability The prob- ability of the intersection of two events A…

A: Number of red balls = 3Number of blue balls = 4Total balls = 3+4=7

Q: P(AUB) ≤ P(A) + P(B)

A: P(AUB)=P(A)+P(B)-P(A and B)

Q: Classify the events as dependent or independent. Events A and B where P(A)3D0.1, P(B) = 0.2, and P(A…

A: Given data: P(A) = 0.1 P(B)= 0.2 P( A and B ) = 0.01 To find : events are dependent or independent

Q: Let A and B be events with P(A)=0.4 and P(B)= 0.6 and P (A and B) =0.2 . (a) Are A and B…

A: Two events A and B are independent if the probability of both events occurring is the product of the…

Q: A student is taking an English course and a history course he decides to probability of passing…

A: Given: X: Event of passing history course Y: Event of passing english course P(X)=0.75 P(Y)=0.84 X…

Q: If one event occurs, another event cannot happen, the events that cannot occur simultaneously are…

A: Definition of Mutually exclusive events

Q: Events A and B of a probability space (Ω,F,P) are independent. The probability that the both occur…

Q: If A and B are mutually exclusive events, does it follow that A and B can

A: MUTUALLY EXCLUSIVE: A & B are mutually exclusive events if they cannot occur at the…

Q: Events A and B are such that P(A)= 0,25 and P(A or B)=0,75. Given that A and B are independent…

A: P(A)= 0.25 and P(A or B)=0.75. Given that A and B are independent.

Q: (a) Two independent events, A and B, are such that, P(A) = 0.7 and P(B) = 0.4, calculate: (i) P(An…

A: We have to solve given problem:

Q: A and B are mutually exclusive events with P(A) = 0.47, P(B) = 0.36 Find P(A and B) abd P(A Or…

A: Answer: From the given data, A and B are mutually exclusive events P(A) = 0.47 P(B) = 0.36

Q: 98

A: Additional comment: dear remember formula of P(A or B) = p(A)+p(B) - p(A and B)Rest you can find…

Q: If events A and B are independent, then the conditional probability that A occurs given that B…

A: For two events A and B, it is given that the events are independent. The conditional prob. that A…

Q: 8- Two events (A) and (B) are independent if : a) P(A | B) = P(A) or P(B | A) = P(B) b) P(A U B) =…

Q: Let A and B be events with P (A)=0.4, P (B)=0.6, and P (A or B)=0.7. (a) Compute P (A and B). (b)…

Q: P (A U B) = 0 P(A U B) = P(A) +

A: The statement given is , " If two events, Event A with probability P(A) and Event B with probability…

Q: ______ 6. If A and B are mutually exclusive events then P(A or B) equals a.P(A) + P(B) ( P(A and B)…

A: Mutually Exclusive Events are events which cannot occur at the same time A and B are mutually…

Q: what is the answer and solution to this question

A: The objective of the question is to list all possible sequences of events V and M by set played that…

Q: U and V are mutually exclusive events. P(U) = 0.27 P(V) = 0.38 Part (a) P(U AND V) = Part (b) P(U |…

A: Given that U and V are mutually exclusive events. P(U) = 0.27 and P(V) = 0.38.

Q: proof that It A and two events with positive probabilities P(A) ±0, P(B) ±0, then A and are…

Q: (i) If the outcome of one event does not influence another event, then the two events are (a)…

A: Note: According to bartleby experts question answers guidelines an expert can solve only first…

Q: P(A) = 0.4 and P(B) = 0.5. Complete parts (a) through (d). Suppose that events A and B are disjoint,…

A: According to the given information in this questionThere are more than three subparts according to…

Q: involving independent and disjoint events. For this problem, assume that Pr[A∪B]=0.75Pr[A∪B]=0.75…

Q: A shopper in a convenience store can make a food selection from refrigerated packages, canned goods,…

A: Givensample space(s)={refrigerated,canned,snack,frozen}event A={refrigerated,canned,snack}event…

Q: Two events will be independent and mutually exclusive at the same time if one of them has a zero…

A: Given: Two events will be independent and mutually exclusive at the same time if one of them has a…

Q: At a state senator rally in Atlanta, there are 20 Republicans, 13 Democrats, and 6 Independents in…

A: Ans: Repullication = 20 Democrate = 13 Independents = 6 total = 20+13+6=39 Probability of select a…

Q: 4. Suppose that X has an exponential distribution with a mean of 8. Determine the following: (a) P(X…

A: Given X~exp(1/8)

Q: None

A: Nowgiven thatP(A)=0.5P(B)=0.3P(A or B)=0.8We know thatP(A or B)=P(A)+P(B)-P(A and B)0.8=0.5+0.3-P(A…

Q: a) What is the probability that it takes more than 10 minutes for the volunteer to give out the…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS ,KINDLY REPOST FOR REAMINING Here Given No of…

Q: The two events A and B are independent with P(A) = 0.1 and P(B) = 0.05. %3D Then P(An B) = 0.76…

Q: Events A and B are such that P(A) = 3/5, P(B) = 4/15. Find P(AU B) if i) A and B are mutually…

Q: not use ai please

A: Given:• ( p ) is a probability measure.• (Aii=1n) are mutually exclusive and exhaustive events.…

Question

If P(A or B) = P(A)+ P(B) then the event A and B are

Independent events

dependent events

Not mutually exclusive event

Mutually exclusive events

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If two events, A & B, are mutually exclusive, then the probability that either event would happen is? * P(A) + P(B) – P(A & B) always equal to 0 always equal to 1 O P(A) + P(B)
How do I find P(c), P(w), and P(c and w) for this problem?
U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.59. Find: a. P(U and V) = ______ b. P(U|V)= _______ c. P(U or V)= ________
Determine the number of outcomes in the event. Decide whether the event is a simple event or not. A computer is used to select randomly a number between 1 and 9, inclusive. Event C is selecting a number less than 2. Event C has= outcome(s). Is the event a simple event? Choose A or B or C ▼ (A)Yes, (B) No, because event C has ▼ (A)exactly (B)fewer than (C)more than one outcome.
Question Let A and B be events with P(A) =, P(B) =-and P(A B) = P[(AnB)U(BnA)]? 9/10 19/30 O 4/5 O None of these
In a family of 5 children, find the probability that there are (i) (ii) (ii) (iv) 2 boys At least one boy All are boys No boys
Let A and B be events with P (A)=0.8, P (B)=0.4, and P(A or B)=0.9. (a) Compute P (A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain.
In a family of 5 children, find the probability that there are (i) (i) (iii) (iv) 2 boys At least one boy All are boys No boys
Help :)
48
A fair red die and a fair blue die are rolled. Let A be the event that the sum of the dice is at least 8, and let B be the event that the blue die lands on a 3 or 4. Which of the statements below is true? P(A\B) < P(A) P(A\B) > P(A) P(A\B) = P(A)
if the events have the same theoretical probability of happening, then they are called Mutually exclusive events Mutually exhaustive events Equally likely events Impossible events Back