is planning to send a team of 6 students for the national science quiz. After taking three quiz rounds in the school, the principal has shortlisted two teams. The first team is consists of 4 boys and 2 girls. The other team is consists of 3 boys and 3 girls. The news reporter of school selects a team at random and a girl student is selected from this team randomly for the interview. Find the probability that the first team was chosen by the news reporter.

Q: A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah.…

A: To Determine: The probability that Sarah is selected to be on the three-person committee.

Q: The probability that a person owns a video game system is 70%. The probability of owning a video…

A: Given : The probability that a person owns a video game system is 70% P(Video game) = 0.7 The…

Q: Find the probability of drawing in order, the two through the queen of spades from an ordinary deck…

A:

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

Q: B/ The loaves of rye bread distributed to local stores by a certain bakery have an average length of…

A: X~N(μ=30,σ=2)  Since we want find the probability by using standard normal distribution table.

Q: A jar contains 15 red marbles and 75 blue marbles. If you randomly pick a marble from this jar, the…

A: Introduction: Total number of marbles in the jar is, n = 90 [= 15 red + 75 blue].

Q: When I drive from my apartment to UCSD, I want to choose 2 out of 5 songs from Olivia Rodrigo's new…

A: From the given information,out of 5 songs, 2 songs must be chosenThe order of songs mattersVampire…

Q: An urn contains 3 yellow balls and 6 white ball . If Vince chooses 7 balls at random from the urn ,…

A: The number of yellow balls is 3 and the number of white balls is 6.

Q: A coin is tossed 2 times. Find the probability of head followed by tail.

A: Given :  A coin is tossed 2 times. The number of outcomes = 22 = 4 The possible outcomes are {HH,…

Q: What is the probability that he will pass the exam, if the passing rate is 60%.

A: here given ,  exam is multiple choices , each question have 4 choices  p = probability of correct…

Q: If the probability that the Mets will win a baseball game is 30%, find the probability that the Mets…

A: Given; P(win)=30%=0.30 Therefore, the probability that the Mets will not win is-

Q: The probability that a student in Oakland will receive a B in Kathy Williamson's statistics class is…

A: Given that, The probability that a student in Oakland will receive a B in Kathy Williamson's…

Q: A bag contains 2 red marbles and 5 white marbles. What is the probability of drawing two red marbles…

A: What is the probability of drawing two red marbles at random if the first marble drawn is not…

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: Todd and Tiff both train pets. Todd trains 30% of pets and Tiff trains 70% of pets. Todd’s pets are…

A: Given that P(Todd trains)=0.30 P(Tiff trains)=0.70 P(female| Todd) =0.55 P(female| Tiff) =0.65

Q: Find the probability that a randomly selected voter voted for Bob Jones.

A: For a recent local election, 55% of the voters were Democrats. Of the Democrats, 80% voted for John…

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: Ahmed, Omar and Salem have applied for the nomination to be the chairman of the student council at…

A: Given that there are three persons Ahmad, Omar and Salem have applied for the nomination to be the…

Q: Find the probability of getting either a total of 8 or a 5 when rolling a pair of dice once

A: We have yo find  probability..

Q: errors per page, on average. What is the probability that on the next page, she will make 4 or more…

A: The mean is given as , μ=2. The formula for Poisson distribution is,PX=x=e-μμxx!. To determine the…

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: At a local book store there are 3 comic books, 3 romance novels, 9 children's books, and 2…

A: we have a total of 17 items in the local bookstore - 3 comic books, 3 romance novels, 9 children's…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: Brad has to select 5 students from a class of 43 girls and 21 boys. What is the probability that…

A: GivenNo.of girls in a class = 43No.of boys in a class = 21Total no. of boys = 64

Q: Marisa will flip a coin 4 times. What is the probability she will land on head every time?

A: When a coin is tossed the probability of getting heads =1/2 Marisa will flip a coin 4 times P(she…

Q: There are 6 oranges, 5 apples and 5 mangoes on the basket. Sam got two fruits at random without…

A: 6 oranges 5 apples  5 mangoes ________________ 16 total fruits

Q: If the probability that it rains tomorrow in Manhattan is 50%, find the probability that it does NOT…

A: Given information Probability that it rains tomorrow in Manhattan p = 0.50

Q: If two players play this game

A: Fair means The coin has to get a chance heads or tails is 50-50%. unfair coins having more chances…

Q: What is the probability that the arrangement uses 7 sketches and 10 sculptures

A:

Q: Kai and Paula are two of the five members of a singing group. Every week, the group picks two names…

A: Here Given  There is 5 members group And 2 members are chosen for each week.

Q: in a break room there are 3 bags of pretzels 2 bags of doritos and 4 bags of popcorn .find the…

A: Total number of bags = 9 (i.e. 3+2+4) Number of pretzels bags = 3 Number of Doritos  bags= 2 Number…

Q: If you roll 6 six-sided dice, find the probability that the sum of the dice is greater than 7.

A: A six-sided die is rolled 6 times. The objective is to find the probability that the sum of the dice…

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.