In  a group composed of 30Democratic men, 20 Republican men, 50 Democratic women, and 60 Republican women Find the  probability that you will meet:  either  women or a Republican Men and Democrat No Republican

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

A:

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: It is given that P( orchestra ) = 3% = 0.03P( band ) = 5% = 0.05P( orchestra and band ) = 1% = 0.01

Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black ​balls, 11 yellow…

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Q: At Jimmy's, an old fashioned barber shop in downtown Victoria, 80% of all customers get a haircut,…

A: Let A be the event that the customer will get a haircut and B be the event that the customer will…

Q: You have 10 hats: 3 baseball hats, 2 cowboy hats, and the remaining are beach hats. You also have 3…

A: The objective of this question is to find the probability of choosing a beach hat and a white shirt…

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

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Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

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Q: A physics class has 50 students. Of​ these, 16 students are physics majors and 12 students are…

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Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: Damon has 14 white socks, 6 black socks, and 4 blue socks in his drawer. If he chooses two socks at…

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Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

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: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: There are 10 male dogs, 14 females dogs, 6 pointer dogs, and 18 retrievers.  If one dog is ramdomle…

A:

Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: The team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors.

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

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Q: A bag of jellybeans has 7 red, 12 black, and 14 blue. We select a jellybean, eat it (do not replace…

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Q: An introductory nursing class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12…

A: Given data, freshman males=9 freshman females=15 sophomore males=8 sophomore females=12 Total =44…

Q: A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability…

A: 7-green  balls5-black balls 12- total balls three balls are drawn one after the other we have to…

Q: find the probability that only three have traveled to Italy.

A: Let p be the probability that a tourist have traveled to Italy. Given that p = 0.55 Let X denotes…

Q: Out of the 5000 residents of a small town, 470 of them have diabetes. If a resident is chosen at…

A: Number of residents (n) = 5000 Number of residents with diabities (x) = 470. Plug in all the values…

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

A:

Q: A tennis club consists of 10 boys and 8 girls, of which 4 boys and 2 girls are randomly selected to…

A: The objective of the question is to find the probability that Aiden, Brian, and Diana are chosen to…

Q: In a cross country race of 40 athletes, 10 of them are on the same team. The probability that the…

A: We have given that, In a cross-country race of 40 athletes, 10 of them are on the same team. The…

Q: Given a standard deck of fifty-two playing cards (no jokers and Aces high), find the probability of…

A: Total face card in a deck of fifty-two playing cards = 12

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.