(v) A standard six-sided die is tossed twice. State the number of distinct outcomes if: (a) the sum of the two rolls is recorded. (b) the difference between the two rolls is recorded.

Q: Two fair dice are rolled. Let X represent the number on the first die, and let Y represent the…

A:

Q: You roll an 8-sided die.  (It has the numbers 1 - 8)  Is rolling a number greater than 4 a simple or…

A: Simple event: when there is only one outcome in an experiment. For example: Tossing a coin getting…

Q: John plans to toss a die until he observes two even numbers. What is the chance that the 2nd even…

A: For a dice roll the sample space is given by: S=1,2,3,4,5,6 so the probability of getting odd number…

Q: You rolled a six-sided die 60 times and got the following tallly 20 ones. 20 twos. 15 threes. 3…

A: given  You rolled a six-sided die 60 times and got the following tally 20 ones. 20 twos. 15 threes.…

Q: Suppose that a pair of dice are thrown.  Let A = “the first die is a 3”, let B = “the sum of the…

A: Given that  Pair of dice rolled  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4)…

Q: Hunter is designing a new board game, and is trying to figure out all the possible outcomes. How…

A: give data  roll a fair die in shape of pyramid(4 sided 1,2,3,4) spin a spinner with 4 side{red…

Q: bag contains three red marbles, two blue marbles, and two green marbles. please show work and use…

A:

Q: you roll two fair dice. How many ways are there for the sum of the dice to be less than 6?

A: On rolling two dice, let X be the sum of the outcomes. The all possible values of X is…

Q: Consider a six-sided die that has 1 dot on one side, 2 dots on two sides, and 3 dots on three sides.…

A: using the concept of probability....

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: Number of balls in first urn = 1 white and 5 red ballsNumber of balls in second urn = 4 white and 2…

Q: How can you write "the probability of obtaining three heads" in symbols?

A: write "the probability of obtaining three heads" in symbols?

Q: Using the same 8 sided die and 6 sided die, answer the following. when you have a sum. a.)…

A: Solution: a).Sum of at least 15.     at least 15 means =>15 or more than 15.     Therefore,…

Q: Randall is conducting a test on bacteria on slices of cheese. He uses 10 slices of cheese to compare…

A: The random variable is Cheese.There are two dependent samples which are number of holes for Strain 1…

Q: A casino game consists of selecting two balls, without replacement, from an urn containing 4 balls…

A:

Q: If P(A) = 0.80, P(A or B) = 0.70, and P(A and B) = 0.60, then P(B) O a. 0.10 O b. 0.50 OC. 0.26…

A:

Q: Suppose we first roll a six-sided die, and then flip a fair coin as many times as the number on the…

A: Given that - Roll a six-sided die, and then flip a fair coin as many times as the number on the die.

Q: A DIE IS ROLLED. DETERMINE THE FOLLOWING:       (A).  THE ODD AGAINST ROLLING A NUMBER LESS THAN 3.…

A:

Q: You ask 300 people if they have served food to their friends that they have dropped on the floor.…

A: Given Information: You ask 300 people if they have served food to their friends that they have…

Q: Assume that you are rolling two regular dice.  The first one is red; the second one is green.  In…

A: When we rolled pair dice of different colours So total no. of possible outcomes will be 62 =36.…

Q: n(A ∩ B)

A: Two dice are rolled. The sample space  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Illustration 17.1. Eight coins are thrown simultaneously. Find the chance of obtaining: (i) at least…

A:

Q: Consider rolling 2 3-sided dice. Let X = the sum of the dice.  Let Y = the product of the dice. a…

A:

Q: Let X be the number of tosses required until the sum of dice is 12. Give the PMF  of X.

A: The long form of PMF is Probability Mass Function, it is defined as the probabilities of all the…

Q: A casino game consists of selecting two balls, without replacement, from an urn containing 7 balls…

A:

Q: A 10-sided die will be rolled three times.   Find P( first roll > 6   OR   second roll > 6   OR…

A:

Q: A pair of dice is rolled, and the number that appears uttermost on each day is observed. One shows a…

A: The all-possible outcomes for tossing a pair of dice is defined as follows: Sample space = {(1,1),…

Q: What is the standard error of rolling a 4 on a six-sided die in 2000 rolls?

A: Given that  n = 2000 , p = 1/6 , q = 5/6 p = Probability of Rolling 4

Q: Suppose you roll a regular 6-sided die with the numbers 1 through 6. What is the probability that…

A: We have to find the probability that you roll a 3 and then roll a 4.......

Q: Ahmad rolled two dice and observed two numbers X and Y a. Find P (X=2, Y=6) b. Find P(X>3|Y=2).

A:

Q: Station 4: Dice Wars - Instructions "EFFERVESCENT" roll two six-sided dice and add the outcomes to…

A: Given that  Roll two six sided dice

Q: After a (not very successful) trick or treating round, Candice has 10 Tootsie rolls and 12 Twizzlers…

A: From given data we have : 10 tootsie rolls 12 twizzlers in her pillow case. and share the loot with…

Q: If P(A) = 0.5, P(B)= 0.4 and P(An B) = 0.2. Find P(B|A) %3D O a. 0.4 O b. 0.5 O c. 0.6 2 O d. 0.3

A: We have given that P(A)=0.5 ,P(B)=0.4 and P(A and B)=0.2 P(B/A)=P(A and B)/P(A)

Q: Suppose that a current die is rolled two consecutive times. be: A: = "the sum of the results…

A:

Q: 6. We first roll a six-sided die, and then flip a fair coin as many times as the number on the die.…

A: We have to find the expectation using conditional expectation.

Q: In a certain class of 25 students, 12% received A’s, 30% received B’s, 42% received C’s, and 12%…

A:

Q: Green Red Orange Purple Yellow 3. Caitlyn and Tabitha want to fairly decide who will take the family…

A: The experiment is considered fair if the probability that Caitlyn will take the family dog on a walk…

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.