A) A die is tossed. if the number is odd, what is the probability that it is a prime?   B) A committee of 5 chosen by lot from a group of 5 seniors and 4 juniors. What is the probability that the committee will have 3 seniors and 2 juniors?

Q: An um contains three red and two white balls. A ball is drawn, and then it and another ball of the…

A: In probability theory, an event is an outcome or a set of outcomes of a random experiment to which a…

Q: Assume that there are 4 different issues of Time magazine, 5 different issues of Popular Science,…

A: Given Number issues of time magazine are – 4. Number issues of Popular Science are – 5. Number…

Q: Assume that the committee consists of 7 Republicans and 6 Democrats. A subcommittee of 5 is randomly…

A: There are total (7+6)=13 persons. We can select any 5 persons from 13 persons in 13C5=1287 ways   If…

Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

Q: One urn has 3 blue and 2 white balls; a second urn has 1 blue and 3 white balls. A single fair die…

A: E1: Urn 1  P(E1) = 2/6 E2: Urn 2   P(E2) = 4/6  A: Blue ball P(A|E1) = 3/5 = 0.6 P(A|E2) = 1/4 =…

Q: Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: Given, 60% of the student population is female. p = 0.6 Sample size n = 10 For a binomial…

Q: A coin is biased so that the probability of heads is 3/5. What is the probability that exactly four…

A: Given : Probability of getting heads is, p = 35 q = 1 - p q = 25 flips are independent. n = 9 x = 4…

Q: b) A bag contains 30 balls numbered from 1 to 30. One ball is drawn at random, what is the…

A: Let A and B two events with Sample space (s) = (1,2,3,4,5,6,7,........, 30)  Multiple of 3 (A) = (…

Q: Assume that two balls are being drawn without replacement from the urn to the right.   What is the…

A:

Q: Suppose three people are in a room. What is the probability that there is at least one shared…

A: Number of days in an year = 365 Number of people = 3 The probability of falling birthday on same day…

Q: Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks. Suppose that 3 blocks…

A: Solution: From the given information, there are 5 RED blocks, 4 BLUE blocks and 3 GREEN blocks.…

Q: Between 3 players (A,B, & C) 5 orange, 5 yellow, and 5 purple balls are divided randomly in a way…

A: In given information it is clear that, there are totally 15 balls (5 orange, 5 yellow and 5 purple )…

Q: b. Rehnuma has a set of three special coins. For the first, second and third coin, probability of…

A:

Q: 6. A work crew for a building project is to be made up of 2 craftsmen and 4 laborers selected from a…

A: Given:- 2 craftsmen and 4 laborers selected from 5 craftsmen and 6 laborers.   a. how many different…

Q: 6-) If three balls are randomly drawn from a bow containing 6 white and 5 black balls, what is the…

A: Given three balls are randomly drawn from a bow containing 6 white and 5 black balls. To find the…

Q: Imagine you have an urn containing 2 red, 3 blue, and 6 orange marbles in it. (a) What is the…

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

Q: Assume the box contains 12 balls: 5 red, 4 blue, and 3 yellow. A ball is drawn and its color noted.…

A: According to the given information, Total number of balls in the box  = 12 Number of red balls = 5…

Q: its number is found divisible by 3. What is the probability that its number is also divisible by 5?

A: Here use basic probability  and Bayes rule

Q: From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each  ball…

A:

Q: Assume that a fair- six sided die is rolled 15 times, and the roll is called a success if the result…

A:

Q: An urn has 3 red, 5 white, and 3 blue balls in an urn and two are drawn one after another without…

A: It is given that an urn contains 3 red, 5 white, and 3 blue balls. Two balls are one after another…

Q: Assume the box contains 7 balls: 2 red, 2 blue, and 3 yellow. A ball is drawn and its color noted.…

A: From the given information, the total number of balls 7. There are 2 red, 2 blue and 3 yellow balls.

Q: .If a deck of cards consists of 52 cards, comprising 4 suits of 13 cards, and one card is drawn at…

A: in 52 cars deck 26 cards are black 26 are red   out of 4 jack 2 are red and 2 are black

Q: If three cards are drawn without replacement from a standard 52-card deck, find the probability that…

A: Given that, If three cards are drawn at random, find P(1st card was queen 2nd card was 5 3rd card is…

Q: Let's assume that we randomly selected 3 people from a class that we know 40% are male . Among the…

A: a)Let X be the number of females in the class. Then, X follows binomial distribution and pdf…

Q: Three balls are selected from a bag contains 5 black, 4 red and 3 blue balls. What is the…

A:

Q: Assume that there are 6 different issues of Time magazine, 7 different issues of Popular Science,…

A: Given data:  6 different issues of Time magazine, 7 different issues of Popular Science,  4…

Q: Assume the box contains 9 balls: 2 red, 4 blue, and 3 yellow. A ball is drawn and its color noted.…

A: Given data: The numbers of red balls are r=2. The number of blue balls is b=4. the numbers of yellow…

Q: 1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. (a) If two balls are…

A: There are total (4+3+2)=9 balls We can select any 2 balls from 9 balls in 9P2=72 ways   a) We can…

Q: Suppose there are 4 red balls and 3 yellow balls in a box . 3 balls are drawn from the box without…

A:

Q: 12) A bag contains 200 balls that are either red or blue and either dull or shiny. There are 55…

A: 12) Let us denote the given probabilities as follows P(S) - the probability of drawing a shiny…

Q: A box contains 10 red,6 blue,and,4 green marbles Withdrawing 2 marbles at random without placement…

A:

Q: An urn has 2 red, 5 white, and 4 blue balls in an urn and two are drawn one after another without…

A: There are total (2+5+4)=11 balls in the urn. We can draw the first red from 11 balls in 2 ways We…

Q: A class has exactly 5 students. What is the probability that exact 3 of those studnets were born on…

A: We have to find given probability.

Q: Assume a box contains 9 balls: 3 red, 3 blue, and 3 yellow. A ball is drawn and its color noted. If…

A:

Q: If three cards are drawn without replacement from a standard 52-card deck, find the probability that…

A: Solution: A 52-card deck contains 12 face cards. Each suit contains one queen and one 5-numbered…

Q: a) Suppose three people are in a room. What is the probability that there is at least one shared…

A: Here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  HERE use basic Probability Rule…

Q: From a sack of fruit containing 10 oranges, 4 apples, and 6 bananas, a random sample of 8 pieces of…

A:

Q: 5 cards are drawn simultaneously and at random from a standard deck of 52 playing cards. Using only…

A: WE know that there are 16 cards of face cards in the deck of 52 cards. therefore, the chance of…

Q: Assume that the committee consists of 8 Republicans and 7 Democrats. A subcommittee of 6 is randomly…

A: Obtain the probability that the new subcommittee will contain at least 2 Democrats. The probability…

Q: there are 8 blue marbles, 2 green marbles, and 10 purple marbles in a jar.  A marble is drawnfro jar…

A: here we have given 8 blue marbles,  2 green marbles  10 purple marbles

Q: Assume that there are 6 different issues of Time magazine, 7 different issues of Sports illustrated,…

A: From the provided information, There are 6 different issues of Time magazine, 7 different issues of…

Q: 19 octahedra (like dice, but having 8 faces rather than 6) are rolled. What is the probability of…

A:

Q: Twenty books consisting of 7 algebra, 4 geometry, and 9 trigonometry books are to be randomly…

A: Let A be the event representing the Algebra books. Let G be the event representing the geometry…

Q: There are five red chips and three blue chips in a bowl. The red chipsare numbered 1, 2, 3, 4, 5,…

A: Given: Number of red chips = 5 (1,2,3,4,5) Number of blue chips = 3 (1,2,3) Number of chips drawn  =…

Q: An urn has 3 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Given information: Frequency of red balls in an urn, r = 3 Frequency of white balls in an urn, w = 4…

Q: Suppose a card is drawn randomly from an ordinary deck of playing cards and then put back in the…

A: Given - Card is randomly drawn from a deck of 52 playing cards. Number of outcomes = 52

Q: A box con taining 5 red balls, 4 white balls and 3blue balls, a ball is selected rondomly, is Color…

A: Solution: From the given information, a box containing 5 red balls, 4 white balls and 3 blue balls.…

Q: a. Therefore, he picks a governmental file, what is the probability that it belongs to the…

A: