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: If one card is drawn from a deck, find the probability of getting A king and a heart?

A: standard deck of 52 cards. select one at random p( A king and a heart ) = ?

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: Three   women   and five   men   are waiting to be interviewed for jobs. If they are all selected…

A: There are total (3+5)=8 persons waiting for the interview.  We can select 8 persons in 8! =40320…

Q: 10. When drawing one card out of a deck of 52 playing cards, what is the probability of getting…

A: Here define events  A = face card B = heart card  There are total 13 cards of hearts  Total face…

Q: The local animal shelter has kittens for adoption. There are 2 black, 3 grey, and 5 multi-colored…

A:

Q: Two chess players have the probability Player A would win is 0.40, Player B would win is 0.35, game…

A:

Q: A bag contains 2 red , 3 blue and 5 green marbles. Mike picks one marble from the bag , then picks a…

A: Given that the bag contains 2 red, 3 blue and 5 green marbles. Total number of marbles is 2+3+5=10.…

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: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…

A: The probability of winning the game is obtained below:From the given information, there are two…

Q: Suppose, you have removed all but the numbered cards from a deck of playing cards. Now, you have to…

A: Given, The total numbered cards = 36

Q: There are 5 different keys and you can open the door with only one of them. You randomly select a…

A: Given info: There are 5 different keys and you can open the door with only one of them. You randomly…

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: 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: There are two bags each containing 10 books all having different titles but of the same size. A…

A:

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: Box A contains 3 black and 2 red fuses, Box B contains 2 black and 4 red fuses. A box is selected at…

A: It is given that, box A contains 3 black and 2 red fuses and box B contains 2 black and 4 red fuses.

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

A:

Q: Please answer this one with complete solution, thank you! In a box of switches, it is known 10% of…

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: A7 card hand is dealt randomly from an ordinary 52 card deck. What is the probabllity that it…

A:

Q: There are two bags each containing 10 books all having different titles but of the same size. A…

A:

Q: (a) all 5 will survive the test (b) at most 2 will survive the test?

A: here given, lot of 10 construction material , 5 are selected randomly and tested  if lot contains 3…

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: A doctor specializing in travel medicine believes that the probability that a person will contract a…

A: Suppose a random variable X, defines that the number of patients who will contract a particular…

Q: If she fills out 4 new applications, what is the probability that she will get no interviews? If she…

A: Here, n = 4 and p = 0.10.

Q: Three men and four women are waiting to be interviewed for jobs. If they are all selected in random​…

A: 3-men 4- women all are waiting for an interview If they are all selected in random​ order, find the…

Q: John has three bags that each contain 500 marbles. Bag 1 has 14 red marbles, 461 green marbles, and…

A: Each of the bag contains 500 marbles.

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: Unknown to a medical researcher, 7 out of 20 patients have a heart problem that will result in death…

A: GivenTotal no.of patients(N)=20No.of patients with heart problem that will result in death(M)=7No.of…

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: One bag contains 4 white chickens and 3 red chickens, and a second bag contains 3 white chickens and…

A:

Q: There are 5 different keys and you can open the door with only one of them. You randomly select a…

A:

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: Two stars of the LA Lakers were very different when it comes to making free throws. ESPN.com…

A: According to the provided information, Let K represents Kobe Bryant used his free-throw shots Let L…

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.