We have two dice. One is fair and the other is biased. The biased die is weighted to land 6 on  every  1 of  36 rolls. There is an equal probability for all of the other five faces on the biased die. Without knowing which one we are choosing, we pick one of the dice, roll it, and get a 6 . What is the probability that we roll the fair die?

Q: Two pair dice are rolled. What is the probability that both dice will land on a one.

A: Given that  Two fair dice are rolled. Total number of events (n) = 62 = 36   We know that…

Q: When two balanced dice are rolled,there are 36 possible outcomes.What is the probability that the…

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Q: Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always…

A: Given that,The three six sided dice are in one urn. On of the trick dice always lands on either 2, 4…

Q: Your friend selects one of two dice, a 6- sided or a 4-sided, with equal probability, and rolls it…

A: GivenThere are two dice 4 sided and 6 sided. The probability of selecting 4 sided dice P(4…

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: Suppose we have a box that has 30 balls numbered 1 to 30. You draw three balls at random without…

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Q: You Roll two fair dice, one white and one red. Find P(5 on white die and 3 on red die)

A: Given information Two fair dice One white and one red

Q: A committee of two people needs to be chosen. There are two men and six women available to serve on…

A:

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Suppose you roll two fair dice, one that is red and other is blue. Each die can have numbers from 1…

A: The total number of possible outcomes for rolling two fair dice is 36. The possible outcomes for…

Q: In a class of 10 students there are 7 boys and 3 girls.. If a committee of 5 students is selected…

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Q: uppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: In the given question, concept of probability is applied. Probability The ratio of the number of…

Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

Q: Suppose that you are going to throw fair dice . What is probability of getting 6

A: The sample space for throwing a fair dice is: S={1, 2, 3, 4, 5, 6}.

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

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Q: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: A die is rolled. If an odd number turns up, we win an amount equal to this number; if an even number…

A: The outcome of rolling a die is {1, 2, 3, 4, 5, 6}.

Q: Two six sided dice are rolled at once. What is the probability of rolling a sum of 9

A: Note that the favorable cases to get a sum of 9 are 3,6,6,3,4,5,5,4. Consider the following events,…

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: In monopoly, a player rolls two 6-sided dice and moves the sum of the values shown. If it's your…

A: The player rolls a two 6-sided dice and moves the sum of the values shown. If it's your turn to roll…

Q: If we roll two dice, what is the probability that one of the numbers on top is 3?

A: When two dice are rolled, there are 36 outcomes in the sample space, which is given by Sample space,…

Q: Two dice are thrown together. What are the chances of: a Number of dice 3 or 6, and The first die…

A: When two dice are thrown there are 36 possible cases A number 3 occurs as{…

Q: determine the odds against of rolling "snake eyes" on the first roll of a pair of dice.

A: Snake eyes: Rolling two dice and getting 1 on both the die is considered as Snake eyes. Sample…

Q: If two dice are rolled one time, what is the probability of getting: A sum of 11 or 4

A: Probability: probability is a mathematical tool used to study randomness. It deals with the chance…

Q: Find the probability distribution for the sum of the three sides.

A: Given,  Number of dice = 3 Number of sides with different number on each dice = 4 Total number of…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​, given that the…

A: Given data: The numbers of dice rolled are n=2. The expression for the total number of sample space…

Q: Joseph and Katrina have the same cube, but now they’re thinking about probability. Provide them…

A: Given: Number of sides in a cube = 6 Joseph rolls one die Katrina rolls the die twice.

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

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.