You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.80, while in philosophy it is 0.70. However, the chances of your advisor choosing the basket-weaving course is only 30%, while there is an 70% chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.)

You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.80, while in philosophy it is 0.70. However, the chances of your advisor choosing the basket-weaving course is only 30%, while there is an 70% chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.)

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

How can I answer both A and B using excel?
Over the weekend, Ashley has to finish her statistics and mathematics assignments. The probability that she will finish the statistics assignment is 0.65, the probability that she will finish the mathematics assignment is 0.70, and the probability that she will finish both assignments is 0.40. What is the probability that Ashley will: (a) not finish the mathematics assignment given that she has finished the statistics assignment. (b) finish the mathematics assignment given that she has not finished the statistics assignment.
The question is in the image.
Joe decided to spend his day fishing. He knows that the probability that a single cast will be a success and catch a fish is 0.10 and the probability of a successful cast stays constant no matter how many times he casts. a. If he casts 10 times, what is the probability that he will catch exactly 1 fish? b. What is the probability of catching his first fish on the 10th cast? c. What is the probability of catching exactly 2 fish from 10 casts? d. What is the probability of catching his second fish on the 10th cast? e. The probability distribution used for a. is which case below: Bernoulli, Binomial, Geometric, Negative Geometric, Hypergeometric, Poisson, Uniform, Normal, Multinomial or something not in this list f. The probability distribution used for b. is which case above? g. The probability distribution used for c. is which case above? h. The probability distribution used for d. is which case above?
At a bar, 30% of those in attendance are football fans, 50% in attendance are soccer fans, and 20% in attendance are hockey fans. You may assume these sports fandoms are mutually exclusive. The probability that a football fan is wearing a red shirt is 15%. The probability that a soccer fan is wearing a red shirt is 45% and the probability that a hockey fan is wearing a red shirt is 85%. You have just talked to a randomly selected person who was wearing a red shirt, but forgot to ask them their preferred sport. What is the probability that they are a soccer fan? What is the probability that a randomly selected bar patron is a soccer fan AND they are wearing red? What is the probability that a randomly selected part goer is a soccer fan OR they are wearing red?
In a particular NE college, the probability a professor receives the Wall Street Journal is .7. The probability a professor receives New York Times is .3. The probability a professor receives both the Wall Street Journal and the New York Times is .2. What is the probability a professor receives the Wall Street Journal or the New York Times?
A candy company claims that 31% of candies are orange. We randomly sample 100 candies. We wish to know the probability our sample is 29% orange candies or less. Find the probability our sample is 29% orange candies
Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal. If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is The probability that 3 out of the next 5 voters approving the proposal is
On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?
Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?
Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places. The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is .
An anthropologist wants to determine the probability that exactly 15 out of 25 ancient civilizations collapsed because of poor leadership. If the probability of the civilizations collapsing because of poor leadership is 72%, the number of trials is and the number of successful trials is The probability that exactly 15 out of 25 civilizations collapsed because of poor leadership is