/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 56 In a sample of275聽students, 20s... [FREE SOLUTION] | 91影视

91影视

In a sample of275students, 20say they are vegetarians. Of the vegetarians, 9eat both fish and eggs, 3eat eggs but not fish, and 7eat neither. Choose one of the vegetarians at

random. What is the probability that the chosen student eats fish or eggs?

a. 9/20

b. 13/20

c. 22/20

d. 9/275

e.22/275

Short Answer

Expert verified

The probability that the student chooses a fish or egg is (b)1320.

Step by step solution

01

Given Information

We are given the values of a total vegetarian and a vegetarian who eats both fish and eggs, and another who eats eggs but not fish, and another who doesn't eat both, and we have to find out the probability that the student eats fish or eggs.

02

Explanation

According to the question, from275students20are vegetarians, and from the vegetarian9eat both fish and eggs, data-custom-editor="chemistry" 3eat eggs but not fish, and 7eat neither.

First, find out the probability of eating fish but not eggs, that is,

probability of eating fish but not eggs=20-9-3-7,

On solving, we getP(Fishbutnoteggs)=1

P(Eatfishoreggs)=favourableoutcomestotaloutcomes

favorable outcomes is 9+3+1=13and total outcomes is20.

Put these values,

P(Eat fish or eggs)=1320.

Hence, the probability of eating fish or egg is1320.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Does the new hire use drugs? Many employers require prospective employees to

take a drug test. A positive result on this test suggests that the prospective employee uses

illegal drugs. However, not all people who test positive use illegal drugs. The test result

could be a false positive. A negative test result could be a false negative if the person

really does use illegal drugs. Suppose that 4%of prospective employees use drugs and

that the drug test has a false positive rate of 5%and a false negative rate of10%.

Imagine choosing a prospective employee at random.

a. Draw a tree diagram to model this chance process.

b. Find the probability that the drug test result is positive.

c. If the prospective employee鈥檚 drug test result is positive, find the probability that she

or he uses illegal drugs.

The two-way table summarizes data on whether students at a certain high school eat

regularly in the school cafeteria by grade level.

a. If you choose a student at random, what is the probability that the student eats

regularly in the cafeteria and is not a 10thgrader?

b. If you choose a student at random who eats regularly in the cafeteria, what is the probability that the student is a 10thgrader?

c. Are the events 鈥10thgrader鈥 and 鈥渆ats regularly in the cafeteria鈥 independent?

Justify your answer.

You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is approximately 0.11. This means that

a. in every 100bridge deals, each player has 1ace exactly 11times.

b. in 1million bridge deals, the number of deals on which each player has 1ace will be exactly 110,000.

c. in a very large number of bridge deals, the percent of deals on which each player has 1ace will be very close to 11%.

d. in a very large number of bridge deals, the average number of aces in a hand will be very close to 0.11.

e. If each player gets an ace in only 2of the first 50deals, then each player should get an ace in more than 11%of the next 50deals.

Notebook check Every 9weeks, Mr. Millar collects students' notebooks and checks their homework. He randomly selects 4different assignments to inspect for all of the students. Marino is one of the students in Mr. Millar's class. Marino completed 20homework assignments and did not complete 10assignments. He is surprised when Mr. Millar only selects 1assignment that he completed. Should he be surprised? To find out, we want to design a simulation to estimate the probability that Mr. Millar will randomly select 1or fewer of the homework assignments that Marino completed.

Get 30identical slips of paper. Write "N" on 10 of the slips and "C" on the remaining 20slips. Put the slips into a hat and mix well. Draw 1slip without looking to represent the first randomly selected homework assignment, and record whether Marino completed it. Put the slip back into the hat, mix again, and draw another slip representing the second randomly selected assignment. Record whether Marino completed this assignment. Repeat this process two more times for the third and fourth randomly selected homework assignments. Record the number out of the 4randomly selected homework assignments that Marino completed in this trial of the simulation. Perform many trials. Find the proportion of trials in which Mr. Millar randomly selects 1or fewer of the homework assignments that Marino completed.

Three pointers The figure shows the results of a basketball player attempting many3

point shots. Explain what this graph tells you about chance behavior in the short run and

long run.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.