A family has three children. Using B for boys, G for girls and ordered triples like (BBG), (BGG), etc. find the following.         a) The sample space. b) The event E that the family has exactly one daughters. c)The event F that the family has at least two daughters. d) What is P (F) ?

Q: Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, and P(C)=0.1. Find P(A u Bu C) if A…

A: We have given the following Events A B, C in a sample space have .  P(A) = 0.2 P(B) = 0.4 P(C) = 0.1…

Q: The probability that Ryan will study biology today is 0.58. The probability that he will read his…

A:

Q: toss three coins: a. Write down the sample space S, and (S). 5. Let A be the event that 3 heads…

A: For a coin :  Two possibilities= { Head , Tail }  Probability = favorable/total Three coins are…

Q: d. What is the probability that the event A will occur? е. What is the probability that the event B…

A:

Q: Game(or experiment):A jar contains 2 red, 3 green, and 6 blue marbles. In a game a player closes…

A: 2)Answer:- Given, A jar contains 2 red, 3 green, and 6 blue marbles.  Total number of marbles= 2+3+6…

Q: A. Event A and B are mutually exclusive. B. Pr( A OR B) = Pr(A) + Pr(B) = ¾ . C. Pr (not A AND not…

A:

Q: You flip five coins and tally up the number of heads and tails. (You do not record the…

A: The objective of the question is to identify the elements of the sample space in a coin flipping…

Q: 7.) Students in an urban school were curious about how many children regularly eat breakfast. They…

A: Given     Male Female Total Eats Breakfast regularly Yes 190 110 300 No…

Q: Question 1: An experiment involves tossing a pair of dice, one green and one red, and recording the…

A: Note: As per the Bartleby policy, in a question with more than four parts, it is instructed to…

Q: An experiment consists of tossing a nickel, a dime, and a quarter. Of interest is the side the coin…

A: Given, an experiment consists of tossing a nickle, a dime and quarter.of interest is the side the…

Q: For two events, A and B, we have P(A) = 0.85, P(B) = 0.65, and P(AUB) = 0.9. Then, the value for…

A: P(A)  = 0.85  P(B) = 0.65  P(A∪B) = 0.9P(B|A) = ?

Q: 4. Events A and B are such that P(A) =P(A|B) =,P(B) = a) Find P(B|A) b) Find P(BnA) c) Are events A…

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Q: b) Let A and B are two events such that: P(A) 0.5, P(B) 0.7, and P(AC n BC) = 0.2, use a Venn…

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Q: The probability of a biased dice landing on 6 is 0.4. a) Find the mean and variance of the number of…

A: The random variable  reperesents the number of times we get a .Probability of landing on : Number of…

Q: An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that…

A: According to the given information, we haveAn experiment involves tossing a pair of dice, one green…

Q: 1. Matching a. The Addition Rule for P(A or B) for non-mutually exclusive events. b. P(E)= (Number…

A: 1) Experiment is an activity that yields outcome or result Option (g): An action or a trail through…

Q: You flip five coins and tally up the number of heads and tails. (You do not record the…

A: The objective of the question is to identify the elements of the sample space in a coin flipping…

Q: Consider the case where a couple is having children until they have one boy and one girl, but no…

A: Given: condition a couple is having children until they have one boy and one girl, but no more than…

Q: A professor is randomly choosing a group of three students to do an oral presentation. In her class…

A: The total number of ways by which 3 students can be selected from the group of 15 students are given…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.