In a football match, there is a new striker on the Juventus side. The probability that the new striker will score goal today is three times higher than scoring none. Rakin and his friends are watching this match. Rakin tells his friends that the new striker is left footed as he read about him in an article; but, some friends are not believing him. The match is about to start and on the screen there is a note saying opponent defenders of Juventus are strong against right footed strikers. So, the probability of the striker being left footed will be five times higher if the striker scores a goal than scoring none. When match started, Rakin and his friends saw that the new striker is left footed. What is the probability that the striker will score today?

Q: A dice and a coin are rolled together, find the probability of getting an even number with a head or…

A:

Q: A dice and a coin are rolled together, find the probability of getting an even number with a head or…

A: Given that: A dice and a coin are rolled together. Total number of outcomes are = 12 The probability…

Q: n an applied mathematics course, there are 3 calculus subjects, 4 statistics subjects, 1 research…

A: Given that  In an applied mathematics course Number of calculus subjects = 3 Statistic subjects = 4…

Q: If you roll two dice 20 times, how often should you get an odd number with the first and an even…

A: total outcomes =36

Q: The first line of a local all-star team is to be composed of 4 strikers, 3 midfeilders and 3…

A: Given,the first line of a local all-star team comprising 4 strikers, 3 midfielders, and 3…

Q: What is the probability that when a break-in occurs that the first two alarms systems will go off,…

A: Let us define some events A : first alarm system goes off. B : second alarm system goes off. C :…

Q: What is the probability that when a break-in occurs that only one alarm system will go off?

A: Let is define some events A : first alarm system goes off. B : second alarm system goes off. C :…

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: 11. One box contains 3 red balls and 5 white balls, and a second box contains 2 red balls and 3…

A: Givenfirst box containsNo.of red balls = 3No.of white balls =5Total no.of balls = 8second box…

Q: The probability that a student will pass mathematics is 0.8, that she will pass physics is 0.65 and…

A: Let M be the event for pass in mathematics  P be the event for pass in physics  Given  P(M)=0.8,…

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: What does it mean to say that the trials of an experiment are independent?

A: In this case, we need to identify the correct option for the given statement.

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: The average number of tesla cars that you can see on your drive to work is 29. What is the…

A: Answer: From the given data, X~Poisson distribution(λ) (λ) = 29

Q: There are 4 females and 3 male students hoping to go on a trip. If two people are chosen at random…

A:

Q: Two of my sisters were playing jack en poy, to consider one of them as the winner they need to win 3…

A: We have to determine the possibility of one person winning three times in a row in a game of jack en…

Q: If you are dealt 4 cards from the shuffle deck of 52 find the probability of getting three jacks and…

A: Obtain the probability of getting three jacks and one queen. The probability of getting three jacks…

Q: The average number of tesla cars that you can see on your drive to work is 20. What is the…

A: Answer: From the given data, X~Poisson distribution(λ) (λ) = 20

Q: Some of the managers at a company have an MBA degree. Of managers at the level of director or​…

A: Let A denote the persons having MBA and B denote the managers having a position at the level of…

Q: Please show your solution. A petroleum company exploring for oil has decided to drill 2 wells, one…

A: Given that  P(first attempt) = 0.25 P(Second attempt | First attempt) = 0.85

Q: Suppose a system will only work if all 5 components work. The probability that a particular…

A: Given that the probability that a particular component works is 0.915.Each component is independent…

Q: What is the probability that both numbers are odd if their sum is 7 ? What is the probability that…

A: Here sum=7 Sample space={(1+6),(6+1),(2+5),(5+2),(3+4),(4+3)} total 6 possibilities

Q: At the beginning of the week a forecaster estimated the probability of having rain on Tuesday as 0.5…

A:

Q: Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: For the multinomial distribution, we have more than 2 outcome which are mutually exclusive and…

Q: A medical team of 5 members has to be chosen from 3 physicians, 3 surgeons and 3 neurosurgeons. What…

A: Total number of people here is 3+3+3=9 Number of people to be chosen = 5. Probability = number of…

Q: License plates in Alberta have 3 letters followed by 4 numbers. What is the probability that Bob…

A: Given : Plate has 3 letters and 4 numbers  We need to find the probability that the plate start with…

Q: don’t know yet which Biology Professor and Biology Laboratory Assistant you will get. You like…

A: Given,Total number of professor, n(P) = 10Total number of biology laboratory assistant, n(A) = 5The…

Q: Three friends, A, B and C are in a paintball shootout. On each round, until one player remains…

A: For increasing their chances of surviving the shoot out , the main objective of any player is to…

Q: If Ned rolled a dot cube and it turned up as a six then he rolled it again what is the probability…

A:

Q: The average number of tesla cars that you can see on your drive to work is 25. What is the…

A: Answer: From the given data, X~Poisson distribution(λ) (λ) = 25 X = 30

Q: A bag contains 5 green and 10 white balls. If one ball is drawn from it, find the chance that the…

A: It ia given that Number of green balls = 5 Number of white balls = 10 Total balls = 15

Q: all of the letter from the word Mississippi are written on separate pieces of paper and put into a…

A: Total number of letters in word Mississippi=11 number of times letter 'a' occur in a word=0

Q: A man and a woman got married and decided to have 5 children.   What is the probability that the…

A: A man and a woman got married and decided to have 5 children.∵P(girl)=P(boy)=0.5P(the couple will…

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.