Solve the problem that involves probabilities with events that are not mutually exclusive. Consider a political discussion group consisting of 8 Democrats, 5 Republicans, and 7 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat.

Q: a social gathering, there are 21 men, 25 women, 10 boys and 12 girls. If you randomly choose

A: Probability = Number of favourable outcome/ Total number of outcomes

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: In a family with 7​children, excluding multiple​ births, what is the probability of having7 ​girls?…

A: total no.of possible outcomes of a family having a 7 children iss=27s=128

Q: A card is drawn from a deck of 52 cards. What is the probability that it is a numbered card (2-10)…

A: The question is about probability Given : No. of cards in a deck = 52   To find : Prob. that a…

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: In a deck of 52 cards, there are 4 kings and 4 queens.  So total number of kings or queens= (4+4)=8…

Q: Suppose 20% of the students in UCR commute to school every day. Among those who commute, 40% of them…

A: The objective of this question is to find the probability that a randomly selected student from UCR…

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: Suppose we deal three cards from a regular deck of cards without replacement. What is the…

A: In a regular deck of card , we have 52 number of card , where number of Ace card is 4, number of…

Q: If parents have 4 kids, what is the probability of the first one being one sex and the next three…

A:

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

A:

Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: There are 20 students who will join either volleyball team, or basketball team or both. If 12…

A: The number of student join both is   N(A or B) =N(A)+N(B)-N(A and B) N(A and B)= N(A)+N(B)- N(A or…

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

A:

Q: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: A car rental company has 5 SUVs, 8 sedans, and 3 convertibles available for rent. If two customers…

A:

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: m a standard 52 de

A: To find: The probability of getting a black card or a Jack

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: What is the probability of a family having five boys born in a row?

A: chance of having a boy, is 0.5. and to have 5 boys in a rowit is with same chance always…

Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

A:

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: In probability, when two events do not influence each other, they are called ?

A: In probability, when two events do not influence each other, they are called ?

Q: Suppose you are going to form a committee of students and faculty. You have 7 total students and 18…

A: Given:We have 7 total students and 18 total faculty to pick from. We want to have 7 total people on…

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,…

A: The objective of this question is to find the probability of a specific sequence of events…

Q: A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at…

A:

Q: You are to draw two cards without replacing the first one. What is the probability of having a king…

A: Multiplication Rule for two Independent events:If the events A and B are said to be independent…

Q: suppose we draw one card from a standRD DECK. WHAT IS THE PROBABILITY THAT WE GET A RED CARD OR…

A: A deck consists of 52 cards. Let A be event that card is Red card. n(A)=26 B be event that card is…

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

A: