you flip a fair coin five times, and then you roll a pair of fair dice. If you get 4 or more heads out of the coin flips, or you get 10 or more points out of the dice, I'll pay you $10; otherwise you have to pay me $3. What is the expected amount of money you win in this bet? use the formula P(EUF)P(E)+P(F)-P(E∩F)

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

Q: Anna is baking muffins. She has chocolate chips, nuts, raisins and blueberries. She has decided to…

A:

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: Rafael is at the grand opening celebration of a supermarket. He spins a wheel with 10 equal-sized…

A:

Q: The AM and GM for two observations are 5 and 4 respectively. Find the two observations.

A:

Q: The probability that event A or event B will occur is

A: Given that  The probability that event A or event B will occur is P(A or B)=P(A)+P(B)−P(A or B).…

Q: A has six shares in the lottery in which there are three prizes and ten blanks. B has two shares in…

A: Solution is given:

Q: Given P(A) = 0.47, P(B) = 0.34, P(A or B) = 0.36, what is P(A and B)?

A:

Q: P(A)=0.7 P(B)=0.4 P(A or B)=0.3 Find P(A and B)

A: Solution: From the given information, P (A)=0.7, P(B)=0.4 and P(A or B)=0.3.

Q: Melissa won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The…

A: Given data  Melissa won a charity raffle. Her prize will be randomly selected from 9 prizes. The…

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the…

A:

Q: Mary’s chicken farm generates a profit of $8,000 per month 25% of the year, $5,000 45% of the year,…

A: Mary’s chicken farm generates a profit of $8,000 per month 25% of the year, $5,000 45% of the year,…

Q: If P (A) = 0.55, P(B) = 0.7, and P(A B) = 0.42, find P (A or B). and P(4 or B) = D

A:

Q: Marlon is going to roll a six-sided die, and if he rolls a 3, he gets $10. It costs him $2 to enter…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Problem: In a typical lotto game, a player selects 6 numbers from a pool of 49. What is the…

A: In a typical lotto game, a player selects 6 numbers from a pool of 49. Here we will use…

Q: When a fisherman lays a fishing net, he has a 10% chance of catching a fish. How many nets does he…

A: Given: X: Number of nets a fisherman need to lay in order to catch a fish. X~Geometric…

Q: Let’s examine the following game with a fair die. You select a number (not necessarily an integer).…

A: Scenario:You select a number (not necessarily an integer). I roll a fair die, and pay you $10, minus…

Q: Suppose P(A) = 0.76, P(B) = 0.12 and P(A or B) = 0.54. Determine P(A and B).

A: The information provided in the question are as follows :- P(A) = 0.76 P(B) = 0.12 And P(A or B) =…

Q: 2. Luke is playing a game where he spun each of the spinners show below once. 8 1 X 7 2 A 6. 3. В 5…

A: In the given problem, we see that, there are two separate spinners.  Spinner 1 has a sample space of…

Q: Aaron draws one marble out of a bag, places it in his pocket, and then draws another marble. Are the…

A: Two events are considered independent if the outcome of the second case is unaffected by the outcome…

Q: C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6.For each part, show how you…

A: From the provided information, P (C) = 0.4 and P (D) = 0.5 And P (C|D) = 0.6

Q: SportBet lists the odds against the Lakers winning their next game as 5:2. Joe bets $10 with Sport…

A: Given: The odds against the lakers winning their next game is 5:2. Joe bets $10.

Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

A:

Q: John and Jess play a game where they each roll a die, but John's die is six-sided and Jess's is…

A: It is given that there are totally forty-eight outcomes.

Q: A raffle sells 3000 tickets and 50 of them win a prize. If a person buys a raffle ticket, determine…

A:

Q: Play this game with a partner. The first player marks down 1, 2, 3, or 4 dots on a sheet of paper.…

A: Given that in a game the first player marks down 1,2,3 or 4 dots in a sheet of paper  then the…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.