Example 1 : In a certain college, 25% of boys and 10% of girls are studying mathemat The girls constitute 60% of the student body. (a) What is the probability that mathematics is being studied ? (b) If a student is selected at random and is found to be studying mathenmatics, find the probability that the student is a girl? (c) a boy ?

Q: Example 3.12. n persons are seated on n chairs at a round table. Find the probability that two…

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Q: A fair die is rolled once. What is the probability of rolling a six and an even number?

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Q: 0.23 0.16 0.44 0.17

A: Given Venn diagram

Q: Bonami High School has 82 juniors at its school. There are 29 students enrolled in Spanish class and…

A: Total students in school is 82 number of students enrolled in spanish class is, n(S) = 29number of…

Q: (a) What is the probability that a package is returned? (b) If someone buys 3 packages, what is the…

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Q: 3. In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: NOTE: As per the policy I can solve only first question, Please repost the remaining question…

Q: 1. In a series of trials, you toss a pair of coins. What is the probability that on the 6th trial, a…

A: there are tossing a pair of coins together so the probability of getting two heads in single tossing…

Q: While watching a game of Champions League football in a cafe, you observe someone who is clearly…

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Q: Example 29. Determine the probability of throwing (a) Three (b) an even number (c) multiple of 3…

A: Answer:

Q: Example 19: A box has 6 red balls and 4 black balls, if two balls has bęen dráwn Cophelj しい one by…

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Q: 1. The table shows the number of deaths in the U.S. in a year due to a variety of causes. For these…

A: The total population of the USA is given to be312 million. The table below shows the number of…

Q: Example 2.29 from the textbook. A 12-unit apartment building has 9 smokes alarms which pass…

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Q: Example 1: A pack contains 4 blue, 2 red and 3 black pens. If 2 pens are drawn at random from the…

A: Given data: A pack contains 4 blue, 2 red and 3 black pens.

Q: Example 2. If an ordinary coin is spinned three times what is the probability of obtaining atleast…

A: In a fair coin, there are two possible outcomes Head and Tail PHead = 12PTail = 12

Q: 2. Answer the following questions: (a) An average of 65% of the students at every Santo Ferro high…

A: (a) Given: 65% of the students at Santo Ferro High School caught common cold while 50% caught a flu.…

Q: Example 8.11 What is the probability of getting tail, head, and tail on three successive tosses of a…

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Q: A man starts a random walk at a lamp post. There is a pit of alligators 3 steps down the path. If he…

A: The number of total steps taken by man = 10 He has to take 7 steps forward and 3 steps backward and…

Q: What is the probability that the city will be hit by a tornado next year?

A: Studies show that historically a certain city is hit by a tornado about once every 5 years. so here…

Q: Example 2.3.12 When two dice are thrown, find the probability that the difference of the points on…

A: Answer: For the given data,

Q: a) Why is this a legitimate finite probability model?    (b) What is the probability that the…

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Q: 322 chickens on a farm lay brown eggs and 326 chickens on the farm lay white eggs. If a chicken is…

A: The total number of outcomes is 322+326 =648. The number of favourable outcomes is 326.

Q: Example 3: A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red balls.…

A: Given that, Bag A contains 2 white and 3 red balls and bag B contains 4 white and 5 red balls.

Q: residents in a certain town. If a resident who is aged 20-29 is chosen at random, what is the…

A: Total number of  residents = 16304 Number of residents aged 20-29 = 3184 Number of students…

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: a) A marble is chosen at random. If you're told the marble is blue, what is the probability that it…

A: Given A jar contains 5 red marbles, numbered 1 to 5, and 9 blue marbles numbered 1 to 9.

Q: a. Are A and B independent events? b. What is the probability of the event that the smoke will be…

A: Here  use venn diagram

Q: 1. Felix is a quarterback for the Raleigh Rangers. After analyzing his game stats, he determines…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Example 39. The first twelve letters of the alphabet are written down at random. What is the…

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Q: 6. In a certain town, 5% of people commute to work by train. If a person is selected randomly from…

A: here use basic formula of odds

Q: - A class has 45 students, 8 of those are athletes. 15 students from the class are in gifted…

A: Total students  =45 Number of students who are athletes = 8 Number of students in gifted program =…

Q: 3. The probability of rain on any day in the month of April is 24%. The probability that it will be…

A: Let us denote R= rainy and W= windy  Given that: P(R)=24%=0.24  P(W)=38%=0.38 P(R and W)=10%=0.10…

Q: This problem involves inspection at a widget factory. Assume that a box contains 4 defective widgets…

A: The box has 4 defective widgets and 8 acceptable widgets. So total (4+8)=12 widgets Probability of a…

Q: Example 2. If an ordinary coin is spinned three times what is the probability of obtaining atleast…

A: Answer:

Q: Example 8.23 A letter is chosen at random from the word 'PROFESSOR": (a) What is the probability…

A: In question, Given that a letter is randomly choosen from the word 'PROFESSOR', then  Part(a). In…

Q: An elementary school is offering two optional language classes, one in French and the other in…

A: From provided information, an elementary school is offering two optional language classes, one in…

Q: 3) The results of a survey of a group of 100 people who like either coca cola or pepsi is shown in…

A: There are two cases which are gender and drink. Gender has 2 types which are male and female. Drink…

Q: 3. A small business receives, on average, 8 calls per hour. What is the probability that the…

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Q: Example 2.24 In a city, suppose that only 60% of the people read a newspaper. What is the…

A: Let X be the number of reading the news paper  p be the probability of the people reading a news…

Q: Example 8.4 An educational institution has offered admission to 100 students. On an average, the…

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Q: A student is chosen at random from a class of 80 students that has 20 honor students, 30 athletes,…

A: Given that: Total number of students in the class = 80  Total number of honor students = 20 Total…

Q: Example 31. A bag contains 5 green and 7 red balls. Two balls are drawn. What is the probability…

A: Answer:

Q: - In a study conducted among 100 randomly selected people over the age of 50; It was seen that 40…

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Q: Example 3: A hospital switch board receives an aveage of 4 emergency calls in a 10 minute interval.…

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Q: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

A: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

Q: Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are…

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Q: Example 4: A manufacturer knows that the condensers he makes contain on average 1% defectives. He…

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Q: You draw at random five cards from a standard deck of 52 cards. What is the probability that there…

A: Let us denote the events A: The five cards picked contains an ace. K: The five cards picked contains…

Q: 8. At a university with a total of 2,000 business majors, there are 500 business students enrolled…

A: Given that  Total business majors (n) = 2000 Students enrolled in an accounting course = 500…

Q: The number of marbles of different colors stored in a hat is listed below: 8 red marbles 10 green…

A: If an event happening is unknown then the probability are used. It used to measure the uncertainty…