Archie is taking a course in probability theory. Discussion sessions with the class TA (teaching assistant) conflict with Archie's trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach. Archie learns that 88% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 15% of past students received a grade higher than B. After some thought, Archie decides to attend the TA sessions. Not all of his classmates share his decision; in fact, only 3 out of every 5 of his classmates attend discussion sessions with the TA. Compute the probability that Archie will receive a grade higher than a B in the course. Round your answer to two decimal places. (If necessary, consult a list of formulas.)

Q: Give introduction to the Probability? what are the concepts of probability?

A: Introduction to probability: Probability is defined as the chance of an event which occurs between…

Q: Two events are independent of each other. If the probability of the first is 0.6, and the…

A:

Q: While sitting on a park bench, Tanisha counts that 16 out of 20 people who walk by her have a pet…

A: The objective of this question is to find the probability of two mutually exclusive events: a person…

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  event A: uncle josiah show up B : aunt beatrice show up   P(A) = 0.48 P(B) = 0.43 P(A∩B)…

Q: How do you know if a probability is mutually exclusive or not?

A:

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: During a game of Blackjack, three players are dealt two cards each, and the dealer has two cards. No…

A: The probability shows how likely an event occurs and its value lies between 0 and 1.

Q: A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is…

A: There are 4 queens in 52 cards So the probability of getting a queen is= 4/52= 1/13

Q: If P(A) = 0.72, P(B) = 0.62, and P(A and B) = 0.54, find the probability that neither A nor B will…

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Q: A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is…

A:

Q: Roll two dice, one after another, and record their sum.  What is the probability that the sum is…

A: Two dice rolled one after another. The sum of number is greater than 8 will be as given below: Sum…

Q: Math Club is having a meeting. If student activities has an event at the same time, I estimate that…

A: Given that

Q: If event A and event B are as above and event A has probability 0.3 and event B has probability 0.1,…

A: The following information has been given: Event A has probability P(A)=0.3 Event B has probability…

Q: A 5-card hand is dealt from a perfectly shuffled deck of playing cards. What is the probability that…

A: Total number of cards = 52 Total number of suits =4 Number of cards in each suit = 13 number of…

Q: Each year, a company either makes a profit or takes a loss. If the company made a profit the year…

A: Each year,a company either makes a profit or takes a loss.If the company made a profit the year…

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: Event A occurs with probability 0.8. The conditional probability that event B occurs, given that A…

A:

Q: Suppose you flip a fair coin twice. What is the probability that the outcome is the same both times?…

A: When we flip a coin toss twice then total number of possible outcomes are S = {HH, HT, TH, TT }

Q: You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards.…

A: There are 52 cards in the deck. The number of aces in a deck of 52 cards is 4 and the number of…

Q: How do I identify the event in a probability question

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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…

Q: When we have a midterm exam of a probability course in a classroom, we often design two versions of…

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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.