In a small lake, it is estimated that there are approximately 105 fish, of which 40 are trout and 65 are carp. A fisherman caught eight fish; what is the probability that exactly two of them are trout if we know that at least three of them are not?

In a small lake, it is estimated that there are approximately 105 fish, of which 40 are trout and 65 are carp. A fisherman caught eight fish; what is the probability that exactly two of them are trout if we know that at least three of them are not?

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 34% of people own dogs. If you pick two people at random, what is the probability that…

A: No.of people select at random = 2 The probability of one person own dogs is, P(one person own dogs)…

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that, The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: In a drawer, there are 12 pairs of socks, 8 of which are white. If you randomly select two pairs of…

A: GivenTotal no. of pair of socks=12No.of white pair of socks=8

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: John has four bottles: cola, root beer, ginger, orange drinks. He chooses three of these for a…

A: Let, C=cola R=root beet O=orange Sample set={CR, RC, CO, OC, RO, OR} n(S)=6

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice. roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: There are three classes, each consisting of 20 students. From this group of 60 students, a group of…

A: From the provided information, There are 3 classes and each class consists of 20 students. From this…

Q: Julianna is baking cookies for her Hospitality Management. Out of 50 cookies she baked, 10 are…

A: From the provided information, Out of 50 cookies she baked, 10 are defective. Professor randomly…

Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: A physics class has 40 students. Of these, 13 students are physics majors and 15 students are…

Q: In one town, 52% of all voters are Republicans. If two voters are randomly selected for a survey,…

Q: Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of…

A: Given information:Population proportion (p) = 20% p =…

Q: About IO percent of the population is left-handed. Ofthose who are right-handed, about 40 percent…

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

Q: If 3 people are randomly selected from all the people in the four cities, what is the probability…

A: From the bar chart, it is clear that 42.767 (in thousands) are from Edmonds and 56.752 (in…

Q: A physics class has 50 students. Of these, 16 students are physics majors and 14 students are…

A: given data n(total) 50 n(physics) = 16 n(female) = 14 n(physics and female) = 6 P(female or…

Q: Suppose that 24% of people own dogs. If you pick two people at random, what is the probability that…

A: Given 24% of people own dogs

Q: 34% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30…

Q: From a group of graduate students including 21 men and 11 women, 26 are chosen to participate in an…

A: Given Information: Number of men = 21 Number of women = 11 Total = 21 +11 =32

Q: Suppose that 22% of people have a dog, 15% of people have a cat, and 2% of people own both. What is…

A: Given that, 22% of people have a dog15% of people have a cat2% of people own both

Q: A physics class has 50 students. Of these, 17 students are physics majors and 18 students are…

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

Q: In a small pond there are 50 fish, 10 of which have been tagged. If 5 fishes were caught, what is…

A: 10 tagged fish 40 non tagged fish ___________ 50 total fish select 5 at random P(2 are tagged…

Q: A cooler contains 9 bottles of water: 3 sparkling and 6 regular. If two are drawn out at random what…

A: According to the provided data, the total number of water bottles in a cooler is 9 out of which 3…

Q: a jury of 16 people is selected from 24 people: 12 women and 12 men. What is the probability (to the…

A: From the provided information, A jury pool consists 24 people. Total men = 12 Total women = 12

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro. The…

A: It is given that, There is a group of 9 people including Pedro. We have to form a committee of 4…

Q: You order fifteen burritos to go from a Mexican restaurant, five with hot peppers and ten without.…

Q: class of 40 students, 27 like Calculus and 25 like Chemistry. What is the probability hat a student…

Q: A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When…

A: It is given that the set of traffic lights shows green light for 45 seconds, amber light for 5…

Q: A jury has twelve members. Seven are women and five are men. If two jurors are chosen at random,…

A: Given, Total members = 12 Men = 5 women = 7

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let n be the number of children's in a family = 6 Let p be the probability of a child being a girl =…

Q: You order thirteen burritos to go from a Mexican restaurant, five with hot peppers and eight…

A: Let X represent the random variable n=3 p=5/13 X~ Binomial (3, 5/13)

Q: Neil has a collection of 8 dice, 5 of which have four sides. If Neil randomly rolls 4 dice, what is…

Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

A: According to the given information in this question, we need to find the following probability

Question

In a small lake, it is estimated that there are approximately 105 fish, of which 40
are trout and 65 are carp. A fisherman caught eight fish; what is the probability
that exactly two of them are trout if we know that at least three of them are not?

Expert Solution

Step 1

Let A be the event that exactly two out of eight fish caught are trout, and B be the event that at least three out of eight fish caught are not trout.

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
77% of all students at a college still need to take another math class. If 43 students are randomly selected, find the probability thata. Exactly 30 of them need to take another math class. b. At most 35 of them need to take another math class. c. At least 33 of them need to take another math class. d. Between 27 and 33 (including 27 and 33) of them need to take another math class.
We have 73 women and 62 men. If we select a person at random, what is the probability that the person is a man?
From a group of graduate students including 25 men and 22 women, 37 are chosen to participate in a presentation. What is the probability that exactly 19 men and 18 women are chosen?
At most one head 15. In Sentinel High School, there are 350 freshmen, 320 sophomores, 310 juniors, and 400 seniors. If a student is chosen at random from the student body to represent the school, what is the probability that the chosen student is a freshman? 16
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
You order sixteen burritos to go from a Mexican restaurant, seven with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.) At least two have hot peppers.
In a biology class, there are 40 students, 18 of whom are female and 22 are male. If two students are randomly selected as lab partners, what is the probability that both students are of the same gender?