If S is a sample space, and E and F are events with P(E)= 0.50, P(F)=0.40 and P(E n F)=30. 1.) What is the probability that event E occurs given that F already happened? 2.) What is the probability that event F occurs given that E already happened?

If S is a sample space, and E and F are events with P(E)= 0.50, P(F)=0.40 and P(E n F)=30. 1.) What is the probability that event E occurs given that F already happened? 2.) What is the probability that event F occurs given that E already happened?

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: Suppose that E and F are two events and that P(E and F) = 0.3 and P(E)=0.8. What is P(FIE)? P(FIE)=…

A: given data P(E and F) = 0.3 P(E) = 0.8 P(F|E) = ?

Q: 22 Given P(4) =0.5, P(B) = 0.6 and P(AU B) = 0.8. Calculate the probability that both events A and B…

Q: Consider the event that the two balls that are drawn are both blue. List all outcomes in the event.…

Q: P1» P2, ·. Pn- Find an expression for the probability that at least one of the events will happen.…

Q: Q. 3 If A and B are two events associated with an experiment and P(A) = P(AUB) = and P(AN B) = Find…

Q: A and B are mutually exclusive events. If P(A)=0.07692 and P(B)=0.25, what is the probability P(AUB)…

Q: Suppose that the probability of event A is 0.33 and the probability of event B is 0.41. If A and B…

A: We have to find given probability.

Q: Let A and B be two events on the same sample space. The probability that the event A occurs equals…

Q: at random events A and Bare independent, A and C are independent, and BC = 6. %3D P(B) =,P(AC |…

A: Given that

Q: Let A and B be any two events defined on sample space omega. Suppose that P(A) =.4, P(B) = .5, and…

A: The given probabilities are:P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.1.

Q: Suppose that E and F are two events and that N(E and F)=360 and N(E)=590 what is P(FIE)

A: Answer: From the given data, E and F are two events where N(E and F) = 360 N(E) = 590

Q: Suppose C and D are events in a probability space, with probabilities P(C) = 0.2400, P(D) = 0.1300,…

A: Given Suppose C and D are events in a probability space, with probabilities P(C) = 0.2400, P(D) =…

Q: Q. 2 Of 200 employees of a company, a total of 120 smoke shisha; 60% of the shisha smokers are male…

A: Using the provided information, the table is: Smokers Non smokers Total Male 72 64 136…

Q: Q2). Thirty students in a class compare birthdays. What is the probability that: (A).5 of the…

Q: Suppose that E and F are two events and that N(E and F)=340 and N(E)=720. What is P(FIE)? P(FIE)…

A: Given,N(E and F) = 340N(E) = 720Using formula,

Q: American Airlines' flights from Chicago to Dallas are on time 80 % of the time. Suppose 8 flights ar…

A: The binomial formula is: 1. The required probability is: P(7)=0.33554432 P(7)=0.336 0.336

Q: Suppose that E and F are two events and that N(E and F)=380 and N(E)=850. What is P(FIE)? P(FIE)…

A: We have given that N(E and F) = 380 N(E) = 850 We have to find P(F/E) = ?

Q: Let's suppose that 15% of Smith High School student drivers are involved in accidents each year. Ten…

Q: A probability experiment is conducted in which the sample spce of the experiment is S =…

A: FOR ANY QUERIES, PING ME HAPPY LEARNING

Q: Given P(A) = 0.69, P(B) = 0.89, P(C) = 0.61 and that events A, B, and C are independent, what is…

Q: If P(A)=0.3 and P(B)=0.6, find each probability a) P(A and B) if A and B are independent events…

Q: Indicate the correct statement if E and Fare two events in the same sample space S with…

A: Let E and F be two events in the same sample space S with probabilities P(E)>P(F)>0.7

Q: QUESTION 4 Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Calculate the…

A: Given: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Calculate the…

Q: (a) What is the probability that a card randomly selected from the We team's hand is a spade? (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: For two events, A and B, we have P(A) = 0.85, P(B) = 0.65, and P(AUB) = 0.9. Then, the value for…

A: P(A) = 0.85 P(B) = 0.65 P(A∪B) = 0.9P(B|A) = ?

Q: Let A and B be two events in a sample space S. Suppose P(A) = 0.5, P(B) 0.3, and P(A n B) = 0.2.…

Q: 1. Given independent events A and B such that P(A) = 0.3 and P (B) = 0.5, which of the following is…

A: P(A)=0.3P(B)=0.5A and B are independent events.

Q: b) Let A and B are two events such that: P(A) 0.5, P(B) 0.7, and P(AC n BC) = 0.2, use a Venn…

Q: Suppose that events E and F are independent, P(E) = 0.4, and P(F) = 0.6. What is the P(E and F)? The…

A: The provided information are: P(E)=0.4 P(F)=0.6 The events are independent events to calculate P(E…

Q: An experiment consists of randomly drawing a marble from a bag containing 7. red, 4 blue, a 3 prange…

A: Total Number of marbles : Red + Blue + orange = 7 + 4 + 3 = 14

Q: Suppose E and F are events from a sample space S. What can you conclude from p(E|F)=0?

Q: compute the probability of event E if the ads in favor of E are 5 to 29

Q: Suppose the probability of someone speaking English in France is 40 %. Suppose we are to randomly…

Q: The notation P(F E) means the probability of event given e

A: Formula: Let us consider A and B are two events, Then A|B represents that the event A given that the…

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)?

A: Given data, P(E)=0.8 P(F|E)=0.5 P(E and F)=?

Q: Question 6 Given two events, A and B, with P(A)=,7 and P(B)= .2, find P(AnB) if you also know that.…

A: Reviewing information, P(A)=0.7 P(B)=0.2

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9. Find…

A: We have given that P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 P(A and B) = P ( A ∩ B)

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 .…

A: For any two events A and B, it is known that P(A ∪ B) = P(A) + P(B) – P(A ∩ B).

Q: Agroup consists of 5 COE, 4 IE, and 6 MEE students. In a randomly selected team of 7 students, what…

A: The number of ways to select r objects from n objects is computed using the combination formula . If…

Question

If S is a sample space, and E and F are events with P(E)= 0.50, P(F)=0.40 and P(E n F)=30.

1.) What is the probability that event E occurs given that F already happened?

2.) What is the probability that event F occurs given that E already happened?

Answer correctly.

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

SEE SOLUTION Check out a sample Q&A here

Similar questions

In a B. Com. class 5% of the students are mischievous. Form a sample of dents caught at random find the probability that (i) none of them is tnievous, (ii) exactly two of them are mischievous and (iii) at least one of them is mischievous. 3 students caught at random find the probability that (i) none of them is CS Scanned with CamScanner
Let A and B be the two events of a sample S such that P(AUB)=0.85, P(AN B) =0.35,P(BNA) = 0.30 Find P(A|B) O 7 11 O 8 11 3. 11 O 6 11
Suppose 90% of U.S. adults think social media is useful in daily life. Two adults were randomly selected, what's the probability that one think social media is useful, the other thinks not? a) (0.1)(0.1) b) (0.1)(0.9) c) (0.9)(0.9) d) (0.9)(0.1) x 2
Mr. Blackwells's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 2 are purple, 4 are yellow, 3 are green, and the rest are black, what is the probability of drawing a purple and yellow if the marbles are not replaced after they are picked?A. 1/150 B. 8/625 C. 2/75 D. 1/75
Find the missing probability. 7) P(A) = 0.4 P(A and B) = 0.18 P(BA) = ? 9) P(A and B) = 0.035 P(BA)=0.05 P(A) = ? 11) P(B) = 0.5 P(A/B) = 0.54 P(A and B) = ? 13) P(A)=0.35 P(A and B)= 0.14 P(B|A) = ? 8) P(A and B) = 0.1 P(BA)=0.25 P(A) = ? 10) P(A)=0.6 P(BA) = 0.55 P(A and B) = ? 12) P(B) = 0.25 P(A and B)=0.07 P(A/B) = ? 14) P(A and B) = 0.08 P(BA)=0.4 P(4)= ? -1-
8 A fair coin is flipped 6 times. What is the probability that the coin lands heads up more often than it lands tails up? For the instructor, this was question 7. X 0.167 X 0.234 / 0.344 X 0.500 X 0.656 X 0.667
Just need work shown. :)
Suppose that events E and F are independent, P(E) = 0.4. and P(F)=09 What is the P(E and F)2 The probability P(E and F) is (Type an integer or a decimal) Statcrunch
Agroup consists of 5 COE, 4 IE, and 6 MEE students. In a randomly selected team of 7 students, what is the probability that all 4 IE students and at least 1 MEE student are selected? O A. 0.1034 O B. 0.2571 OC. 0.5834 OD. 0.0241
Suppose that E and F are two events and that P(E and F)=0.2 and P(E)=0.4. What is P(F|E)? P(F|E)= ______
10 . Let A, B be independent events with P (A) = P (B) = 1/3. Find the probability that exactly one of the two will occur: Select one : a. 4/9 b. 1/9 c. 1/3 d. 2/9