Suppose that a certain college class contains 41 students. Of these, 25 are juniors, 27 are history majors, and 7 are neither. A student is selected at random from the class.   a) What is the probability that the student is both a junior and a history major.   b) Given that the student selected is a junior, what is the probability that he is also a history major.   Write your responses as fractions

Q: Suppose you have three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue, Y…

A: Given that there are three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue,…

Q: The group of students who are selecting 2 of their group at random to give a report, but assume that…

A: Given: The group of students who are selecting 2 of their group at random to give a report, but…

Q: Suppose that a family has 4 children. Also, suppose that the probability of having a boy is Find the…

A: Obtain the probability that the family has at least 3 boys.   The probability that the family has at…

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) =   ? b.…

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

Q: A bag contains 35 marbles, 11 of which are red. A marble is randomly selected from the bag, and it…

A: INTRODUCTION : Sampling with replacement: In the method of sampling with replacement the sampled…

Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…

A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…

Q: A jar contains 3 white marbles, 4 orange marbles, 6 yellow marbles, and 5 black marbles. If a marble…

A: A jar contains number of marbles  3 white, 4 orange, 6 yellow, anf 5 black marbles total number of…

Q: A spinner has numbers 1–9 marked equally on the face. If the spinner is spun 2 times, what is the…

A: Given Information: A spinner has numbers 1–9 marked equally on the face and the spinner is spun 2…

Q: Two cards are drawn without replacement from an ordinary deck. Find the probability that the second…

A: given data, two cards are drawn without replacement here total outcomes =52 cardsheart cards =13…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: there are 35 cards, numbered 1 to 35, in a box. 2 cards are drawn, 1 at a time, with replacement.…

A: Given : There are 35 cards, numbered 1 to 35, in a box. Probability of drawing 2 multiples of 10,…

Q: In a lottery game, a player picks 5 numbers from 1 to 48. If 4 of the 5 numbers match those drawn,…

A: pick 5 numbers from 1 to 48. win second prize if 4 of 5 numbers matches. P(win second prize) = ?

Q: 2. Consider a hand of 6 cards chosen at random from a deck of 52 cards. Recall that there are 4…

A: We have to find out given probability....

Q: Suppose there are 7 jelly beans in a box-4 red and 3 green. If a jelly bean is selected at random,…

A:

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hears, diamonds,…

Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: We have 2 red balls 1 blue ball 2 white balls   Total balls=5 Let R= Red , B= Blue , W= White…

Q: In a lottery game, a player picks 5 numbers from 1 to 45. If 4 of the 5 numbers match those drawn,…

A:

Q: Suppose that a survey of 350 college students is taken. Each student is asked the type of college…

A: Given:   Public Private Total Low 120 20 140 Middle 110 50 160 High 22 28 50 Total 252 98…

Q: Suppose a jar contains 18 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: Suppose that a family has 6 children.​ Also, suppose that the probability of having a boy is 12.…

A: Let  'X' be the random variable representing the number of boys in the family.  The random variable…

Q: Seven people are arranged in a line. What is the probability that two specific people, say A and B,…

A:

Q: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

A: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

Q: select one puppy at random with replacement (they may both select the same one), find the…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: Suppose that a family has 4 children. Also, suppose that the probability of having girls is 1/2.…

A:

Q: n a lottery game, a player picks 6 numbers from 1 to 46. If 5 of the 6 numbers match those drawn,…

A: pick 6 numbers from 1 to 46. if five of the 6 numbers matches with drw=awn numbers player win second…

Q: The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on…

A:

Q: Each individual letter of the word Minnesota is placed on a piece of paper, and all 9 pieces of…

A: Given that, Total papers=9 Consonant papers= 5 We know that probability of any event A is  P(A)=…

Q: Suppose that a certain college class contains 59 students. Of these, 27 are sophomores, 34 are…

A: From the given information. The total number of students are N=59. The number of sophomores majors…

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a red queen.

A: In a Deck of 52 cards  Number of red cards= 26  Number of queen cards= 4  Number of red queen cards=…

Q: A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference. a.…

A: In the given group there are 5 Democrats and 8 Republicans.