In the game of craps using two dice, a person wins on the first roll if a 2, 3, or 12 is tossed on the first roll. Find the probability of winning on the first roll.

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that,  A bag contains,  Pennies = 9 Nickels = 6 Dimes = 5 Total  = 9+6+5 = 20 Then, We…

Q: In the game euchre, The deck consist of the 9, 10, Jack, queen, king and ace of each suit. Players…

A:

Q: For the experiment of drawing a single card from a standard 52-card deck, find the probability that…

A: Given: There are 52 cards in a standard deck. There are Diamond, Club, Heart, and Spade each having…

Q: When two dice are thrown, find the probability of getting sum of 10 or 11.

A:

Q: When tossing a dice and a coin together, the probability of getting 1 and a picture together is…

A: Given problem Given that   When tossing a dice and a coin together. The probability of getting 1…

Q: What is the probability of a die showing a 2 or a 5?

A: If die are rolling then sample space is,  S = { 1, 2, 3, 4, 5, 6 }

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: If you roll three (six sided) dice, what is the probability that all three will show a 6? Leave your…

A: Obtain the probability that all three will show a 6. The probability that all three will show a 6 is…

Q: In rolling a pair of dice, what is the probability of getting a sum of 56?

A: Provided information is ; Rolling pair of dice Therefore; S = { (1,1), (1,2), (1,3), (1,4), (1,5),…

Q: If two fair dice are thrown, find the probability that the sum is between 6 and 8, inclusive.

A: Total number of possibilities:

Q: Using a standard six sided dice, Janice rolled either a 2 or a 5 on the last 6 rolls of the dice.…

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Q: A student takes a four-question, True or False quiz and guess at every answer. What is the…

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Q: Find the probability of getting either a total of 8 or a 5 when rolling a pair of dice once

A: We have yo find  probability..

Q: When rolling a pair of dice, find the probability of getting a sum of 5

A: Given : Sample space of rolling a pair of dice : S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

A:

Q: In dice, a pair of ones is called snake eyes. What is the probability of losing a dice game by…

A: Given, In dice, a pair of ones is called snake eyes.

Q: If two dice are rolled, one time, find the probability of getting the following results: a) A sum…

A: (a)   Obtain the probability of getting a sum of 5.   The probability of getting a sum of 5 is…

Q: If a die is tossed twice, what is the probability of rolling a 2 followed by a 3?

A: If a die is tossed then probability of getting 2 in a trial = 1/6 and probability of getting 3 in…

Q: Find the probability of getting a 1, 5, or 6 when you roll a standard six-sided die

A: When we roll a six-sided die then we can get 6 possible outcomes.  We can get 1, 5 or 6 in 3 ways.…

Q: In the game between two cards are dealt what is the probability of winning if a 5 and jack are dealt

A:

Q: A pair of dice is thrown. if it is known that one dice shows a 4, what is the probability that the…

A: The number of dice thrown are 2.

Q: If you roll two dice, what is the probability of an even sum or a sum of 8 or more?

A: The outcomes for each of the die is {1, 2, 3, 4, 5, 6}.

Q: Express the answer in simplest form. If a dice is rolled one time, Find the probability of: P(A…

A:

Q: (a) If a coin is flipped, find the probability that a head will turn up. (b) If a fair die is…

A: (a) To find the probability that a head will turn up if a coin is flipped. Solution: We know that,…

Q: Find the either/or probability of the events. Getting a sum of either 2, 3, 4, or 5 on a roll of two…

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A:

Q: If two dice are thrown, what is the probability of throwing a total of 5?

A: If dice is thrown then possible sample (S) : S = { (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)…

Q: What is the probability that at least one dice will different from the other two? Leave your answer…

A: It is assumed that three dice are rolled. The total number of outcomes in the sample space be n(S) =…

Q: The chart shows the possible results of 2 dice being rolled. What is the probability of rolling a 6…

A:

Q: A penny and a nickel are tossed. Find the probability that the pennyShows heads, given that the…

A: Solution

Q: rolling a pair of dice, what is the probability that the sum is 12 or at least one die shows a 2?

A:

Q: Two dice, one white and one black, are thrown together. Calculate the probability that the score on…

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Q: Find the probability that either a 6 or 7 will be obtained in one toss of a pair of dice.

A:

Q: If Bart can make only 40% of free throws in a basketball game, what is the probability that he will…

A: Sample size = 3 Probability = 40% = 0.40

Q: Consider the tossing of a pair of dice. Find the probability that the sum of the two die is 6.…

A: The possible outcome for a pair of dice is 36. which is as follows: (1,1), (1,2), (1,3), (1,4),…

Q: In the game of Monopoly, a player is sent to jail if he or she rolls doubles with a pair of dice 3…

A: In a game of monopoly, player is sent to jail if he or she rolls doubles with a pair of dice 3 times…

Q: In a throw of two dice, the probability of obtaining a total of 10 or 12 is

A: Introduction :-  Given event :-  Throw of two dice. We have to find probability of obtaining a total…

Q: In rolling a fair die once, what is the probability of rolling a 2 or an odd number? show solution

A:

Q: With two dice, the probability of rolling a 4 is higher than the probability of rolling an 10 with…

A: Let 'S' be the sample space of rolling two dice together. S={1,1, 1,2, 1,3, 1,4, 1,5, 1,6       2,1,…

Q: If you roll a dice once, what’s the probability that it will show an even number? An odd number?

A:

Q: The probability of winning the jackpot is

A: here total available number 44 from which 5 numbers are selected , and in separate winning you must…

Q: If a pair of dice is tossed, find the probability of getting a total of 6 or a 12?

A: Answer :- If a pair of dice is tossed,                      Sample space (S) = {(1,1), (1,2), (1,3),…

Q: What is the probability that a student is taking Art given that they are taking band?

A: According to the Venn diagram, the number of students taking only band is 7. The number of students…

Q: If 20 horses face off in the Kentucky Derby, what is the probability of winning with an exacta (a…

A: In question,  Given that, 20 horses face off in the Kentucky Derby.

Q: Given a family with three children, find the probability of the event. All are girls.The probability…

A: Given A family with three children

Q: You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt three of…

A: In general, the total number of cards in a pack is 52 and the number of club cards is 13.

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability of getting two…

A: In a standard deck of cards, there are 52 cards.  From these 52 cards, we can pick 5 cards in 52C5…

Q: The probability of getting a 2 or 5, when rolling a single die is _

A: Here we have to find the probability of getting a 2 or 5 when rolling a single die.

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.