We have two coins. One is fair and the other is weighted to land on tails 3/4 of the time. Without knowing which coin we are choosing, we pick one at random ,toss the coin, and gets tails. What is the probability we flipped the biased coin?

Q: There are eight seats at a rectangular table - three on each of the longer sides and one on each of…

A:

Q: You roll two 6-sided dice.  What is the probability that the sum of the dice is exactly 8?   Enter…

A: Obtain the probability that the sum of the dice is exactly 8.   The probability that the sum of the…

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: A single die is rolled twice. The 36​ equally-likely outcomes are shown to the right.   Find the…

A: When 2 dies are rolled then s= n(s)=36

Q: A problem in Statistics is given to three students A, B and C whose chances of volving it are and…

A:

Q: If we flip a coin four times, what's the probability we get an equal number of heads and tails?

A:

Q: You have two unfair coins.  One coin has a probability of 0.55 of landing heads, and the other coin…

A: Given that  You have two unfair coins. One coin  Probability of landing head P(H1 ) = 0.55…

Q: you used a penny. You get 26 tales and 29 heads what is the experimental probability.

A: In this problem, experimental probability is to be determined.

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

A:

Q: If we flip a coin four times, what's the probability we get an equal number of heads and tails?

A: When a coin is flipped 4 times, number of outcomes in the sample space =24=16 These outcomes are:

Q: A problem in statistics is given to three students A, B and C whose enhances of solving it are 1/2,…

A: Given : The probability of solving a problem by students A, B and C is 1/2,3/4 and 1/4

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

A:

Q: You flip a coin 5 times that has been weighted such that heads comes up twice as often as tails .…

A: The probability that all 5 of them are heads is obtianed below:   From the given information, let…

Q: Suppose we flip a fair coin 20 times getting 6 tails and 14 heads. Find the probability of having no…

A:

Q: In the experiment of rolling two dice, what is the probability that the difference between the…

A:

Q: You roll two dice. What is the probability that one of the numbers is even and the other is odd?

A: There are 6 numbers on a dice, 3 even number and 3 odd numbers on a dice. The probability of getting…

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: What is the probability distribution of the sum of the outcomes of the flips

A: When we flip a coin two times, then thebpossible outcomes are {(1,1),(1,0),(0,1),(0,0)} Let X denote…

Q: You toss twice coins. What is the probability that both land Tails up?

A: Given, Possible outomes => [h,h] [h,h] [t,t] [t,h]Favourable outcomes =[t,t] = 1number of…

Q: Jeannie took a week's vacation from school and never made up the work. She is guessing answers on a…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: A biased coin is flipped 8 times. In a single flip of the coin, the probability of heads is 1/3 and…

A: Number of flips = 8Probability of heads = 1/3Probability of tails = 2/3

Q: A fair coin is flipped twice. What is the probability of showing heads on both flips?

A: Given: A fair coin is flipped twice. Objective of this question is to find the probability of…

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: Brian is undecided as to whether to take a French course or a Russian course. He estimates that his…

A: Answer  Given  Probability of receiving an A grade would be in a French course =1/3 and in Russian…

Q: In tossing the coin twice, what is the probability of getting one ore two heads?

A: Solution : Sample space for tossing a coin twice is, S = { HH, HT, TH, TT } ∴ n(S) = 4

Q: What is the probability of flipping a quarter four times and it landing on Tails each time? Leave…

A: The outcomes of flipping a quarter are {Head, Tail}.

Q: The average number of times per week that John's 3 dogs wake him up at night because the dogs want…

A: GIVEN DATA,The average number of times per week that John's 3 dogs wake him up at night because 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.