The probability that Kofi hits a target is and the corresponding probabilities for Kojo and Kwame are and 2, respectively. If they al fire together, find the probability that 4 (a)They all miss (b)Exactly one shot hits the target (c) At least one shot hits the target (d)Kofi hits the target given that exactly one shot is registered

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: For this problem, assume the box contains 5 mango balls, 4 aqua balls, and 7 gold balls, and that we…

A: Let A be the event that the chosen balls are not mango balls. Let B be the event that the chosen…

Q: If the probability that one student can solve a problem is 4/5 and that the probability of another…

A:

Q: Assume that each child who is born is equally likely to be a boy or a girl. Suppose that a family…

A: Each child who is born is equally likely to be a boy or a girl, Family has 4 children : Possible…

Q: For this problem, assume the cooler contains 29 cans, 13 of which are regular, and the rest of which…

A: From the provided information, Total cans = 29 Regular cans = 13 Diet cans = 29 – 13 = 16

Q: Tom, Mike and Jane decode the code independently, the probabilities of their successfully  decoding…

A: Here, given that three people decide the code independently and the probabilities of each event is…

Q: In a city, the probability that it will rain on a certain day is 0.9 if it rained the day before.…

A: The random digits below simulate the weather for the rest of the week.Random Digits: 989599The…

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A: Given information- We have given that it is equally likely for a child to be a boy or a girl.…

Q: A person is selected at random during the Republican National Convention. Suppose the probability…

A: Given, The probability that the person selected is a woman is, P(W) = 37% = 0.37The probability that…

Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…

A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…

Q: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…

A: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…

Q: 1. A family has 3 children: boys and girls are equally likely offspring. What is the probability of…

A: Given : A family has 3 children : Let, B = boy G =Girl The total possible outcomes is :…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: From the given information, all the possible outcomes when a couple has three children are, {bbb,…

Q: On any particular Friday evening, the probability  that Jason will go to the mall and go for a…

A: event A : go to the mall event B : go for a coffee P(A∩B) = 13P(B|A) = 47P(A) = ?

Q: For this problem, assume the box contains 8 white balls, 5 blue balls, and 4 red balls, and that we…

A: Number of white balls is 8. Number of blue balls is 5. Number of red balls is 4.

Q: Assume that the probability of any newborn baby being a boy is , and that all births are…

A: 1 - (1/2)^3= 1- 1/8= 7/8. So probability that none of them are boys is 7/8.

Q: Events A & B are mutually exclusive. Event a occurs with probability 0.1 and event B occurs with…

A: In question,  Given that, A and B are two mutually exclusive events where P(A) = 0.1 P(B) = 0.08

Q: In a parking lot there are only white cars, green cars, and red cars. If one car is selected at…

A: Givenl In a parking lot there are only white cars, green cars, and red cars. If one car is selected…

Q: A biased coin is flipped 8 times. In a single flip of the coin, the probability of heads is 1/3 and…

A: Number of flips = 8Probability of heads = 1/3Probability of tails = 2/3

Q: What is the probability that at least one of them is male?

A: Given that,Total no. of students  Total no. of female student Total no. of male student

Q: A director needs 5 students to fill roles in her performance. 8 students, including Justin and Emma,…

A: In the world of theater, casting is a critical process that determines the individuals who will…

Q: We know that on a random day during the summer the probability that the student jogs is 0.65, the…

A: The probability that the student jogs is 0.65, the probability that the students swims is 0.40 and…

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.