1. If a die is rolled, find out the following: (i) The probability of getting an even number (ii) The probability of getting a 4 2. If two dice are rolled, then find out the following: (i) The probability that the sum is equal to 9 (ii) The probability that the sum is equal to 7

Q: a) Suppose a balanced six-sided die is rolled. i. What is the probability of getting the first…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    Here Given  Six sided balanced die…

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: • If a pair of dice is tossed. What is the probability that a. the sum is either 7 or 11? b. the sum…

A: Given that  A pair of dice is tossed  Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: If a fair die is rolled once, the probability that you get a four, given that the die comes up an…

A:

Q: he probability of selecting a bad egg is 0.035 from the lot of 400 eggs. So, what is the number of…

A: Given data, n=400 eggs  probability of selecting a bad egg is p= 0.035 Therefore  probability of…

Q: An unfair coin with​ Pr[H] =0.250 is flipped. If the flip results in a​ head, a student is selected…

A: We are given,Probability of Head = 0.250If flip results in a head , then student is selected at…

Q: I1. Determine the probability of obtaining a sum of 9 on a single roll of two fair dice.

A: Determine the probability of obtaining a sum of 9 on a single roll of two fair dice.

Q: Terry has a single six-sided die numbered from 1 to 6. If he rolls it three times, then what is the…

A: Suppose the die rolled here is fair, so that all the outcomes are equally likely. The possible…

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

A: Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes possible…

Q: A standard die is rolled three times. What is the probability of rolling a number greater than 5 on…

A: We have to find correct answer..

Q: Suppose you roll a special 21-sided die. What is the probability that the number rolled is a "1" OR…

A: Given: A 21-sided die is rolled.

Q: If n=6 and mean= .40 , what is the probability that X>1?

A: Given,n=6 , mean=0.40A random variable X~Binomial(n, p)

Q: #29- It is computed that when a basketball player shoots a free throw, the odds in favor of his…

A: Given that -It is computed that when a basketball player shoots a free throw, the odds in favor of…

Q: If the odds in favor of Chris winning the election are 5:4, then what is the probability th a) Chris…

A: The odds in favour of Chris winning the election are 5:4.To find the probability that,a)Chris…

Q: According to a study, the probability that a randomly selected teenager studied at least once during…

A: Given that, According to a study, the probability that a randomly selected teenager studied at least…

Q: What is the probability that each of the 3 dice will show either an odd number or a multiple of…

A: Here 3 dice are rolled

Q: 2. A coin is being flipped 400 times. What is the probability of it landing on heads at most 170…

A: Given That: A coin is flipped 400 times.

Q: i. If he has the option to draw from only bag B1, what is the probability of drawing the four balls?…

A: First we define some events B1 : bag B1 is selected. B2 : bag B2 is selected. E : he choose 2 red…

Q: Give the probability for each of the following totals in the rolling of two dices: 1, 2, 5, 6, 7, 10…

A:

Q: The odds against an event E occurring are 4 to 3. What is the probability that E will occur?

A:

Q: 1. (a) Suppose that 10 cookies are distributed among 5 distinct children, what is the probability…

A:

Q: 2 The probability of failure in Physics practical examination is 20%. If 25 batches of 6 students…

A:

Q: Suppose you roll a special 38-sided die. What is the probability that the number rolled is a "1" OR…

A: Given information- We have given a special die of 38-sided. We have to find the probability of…

Q: The probability of an 60 year-old male living to 70 years old is equal to in 2019. (Art_13_07_B)

A:

Q: For this problem, assume that you weigh 350 duck hatchlings. You find that 50 are slightly…

A: (1) The probability that should be assigned to a single duck hatchlings being slightly underweight…

Q: Consider again the tossing of a pair of dice. Find the probability the sum is greater than 6. (Round…

A:

Q: In rolling the dice two times, the probability that the sum of the two appearing numbers is greater…

A: Given : Expt: Rolling dice 2 times

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: From the provided information, Total possible outcomes = 6 a) Total possible outcome rolling a…

Q: For this problem, assume that you weigh 350 duck hatchlings. You find that 56 are slightly…

A: Calculation:1)It is given that out of 350 duck hatchlings, 56 are slightly underweight.Then the…

Q: Ex 4: On average, 3 traffic accidents per month occur at a certain intersection. What is the…

A:

Q: If the probability of an event occurring P(E) plus the probability of an event not occurring P(not…

A:

Q: Suppose a coin with Pr[H]=3/4 is flipped 4 times. Answer the following questions: What is the…

A: Consider,P(H) = ¾,P(T) = ¼N = 4 (four times coin flipped)Thus,

Q: If two dice are thrown together, what is the probability of getting an even number on one dice and…

A: Given : Let E be the event of getting an even number on one die and an odd number on the other.Let…

Q: 1. Obtain the probability of adding up six points if we toss three distinct dice.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: If a person from any of the group is selected at random, what is the probability that this person…

A: here total people 200 40 have type A blood, 75 have type B blood, 60 have type O blood,  25 have…

Q: Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…

A:

Q: Find the probability of rolling less than 5 on a six-sided dice. 1 2 3 1 2 d

A: When roll a six sided dice then the possibile outcomes is { 1,2,3,4,5,6}

Q: If the prevalence of a certain condition in the population is 0.4. What is the probability that…

A: Answer: Given that: p= 0.4 , n= 10 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: 1. If probability of a single birth resulting in a boy is 0.321, then what is the probability of it…

A: P(boy) = 0.321 P(girl) = ?

Q: The probability that X is between 0.46 and 1.1 in the problem below is ?

A: Given: X~ U[0,2] The probability that X is between 0.46 and 1.1 is obtained as below:…

Q: 1. What is the probability that Z is between 1.57 and 1.84? 2. What is the probability that Z is…

A: Draw the normal curve and shade the area between z=1.57 & z=1.84 Required shaded area under the…

Q: If the prevalence of a certain condition in the population is 0.8. What is the probability that no…

A: Answer - If the prevalence of a certain condition in the population is P = 0.8. What is the…

Q: Ex.2 On a roulette wheel, the probability of "red" is 18/38. In 10 spins, a) what is the probability…

A:

Q: The expected number of times a fair dice shows the number 6 in six independent rolls is equal to 1.…

A:

Q: A problem is given to three persons A, B, C whose respective chances of solving it are 2/7, 4/7, 4/9…

A: From the provided information, P (A) = 2/7, P (B) = 4/7 and P (C) = 4/9 The probability that none…

Q: What is the probability that Z is less than −1.58 or greater than 1.84​?   The probability that Z is…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Suppose a special 45-sided die is rolled once where each fac is marked with a number 1 through 45.…

A: Given,  A 45-sided dice is rolled  The probability that the die lands on a 40 or 35 =?

Q: if there are 3 MCQ if we answer randomly(by guessing)  what's the probability of getting exactly one…

A: Consider,Sample size (n) = 3.Assuming probability of success (p) = 0.25

Q: i. What is the probability of getting the first "three" in the 6th roll? ii. How many times would…

A: HERE GIVEN, 6 SIDED DIE IS ROLLED, here balanced die  so probability of getting each of the number…

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.