A coin is tossed, determine: a) The probability of winning 8 out of 10 tosses. b) The probability of rolling 3 times to win the first one.

Q: A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah.…

A: To Determine: The probability that Sarah is selected to be on the three-person committee.

Q: Find the probability of scoring a total of 9 points in 2 tosses of a pair of fair dice (a) once, (b)…

A: We toss a dice 2 times. There are total 6 faces of a die. 1,2,3,4,5,6 Then number of times the total…

Q: one student is chosen at random, nd the probability that the student was female OR got an "A".

A: The number of females is 24, the number of students got an A is 29 and the total number of students…

Q: a. Find the probability of getting exactly 1 girl in 8 births.

A: It is given that X : number of girls among 8 children.

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

A:

Q: Using a standard six-sided die, Janice rolled either a 2 or 5 on the last 6 rolls of die.  What's…

A: Solution Given That, Using a standard six-sided die, Janice rolled either a 2 or 5 on the last 6…

Q: What is the probability of getting exactly two Heads in a single throw of three coins?

A: given experiment: a single throw of three coins.now, sample space…

Q: Find the probability of rolling a “1” on a fair die, given that the last 3 rolls were all ones.

A: According to the provided data, it is known that a fair die is rolled. So, the probability of…

Q: What is the probability of obtaining twelve heads in a row when flipping a coin? Interpret this…

A: When we flip a coin the probability of getting a head is P(H) = 0.5

Q: Find the probability of 'getting 4 on rolling a die'

A: When a die is rolled the sample space is S={1,2,3,4,5,6} n(S)=6   Let E be the event of getting 4…

Q: probability of getting a total score of 15

A: We have to find out the probability of getting a total of 15.

Q: Consider the case when the predetermined average number of bus arrivals at the Cubao station is 6…

A: Solution: Let X be the number of buses arriving a 15 minute period. From the given information,…

Q: When tossing a balanced coin seven times, the probability of getting three heads only is ?

A: Probability is given by: Number of Favourable outcomesNumber of Total outcomes  As it is a balanced…

Q: Calculate the probability of 3 heads in 5 tosses of a coin, where r is the number of heads…

A:

Q: In a five card poker hand, what is the probability of being dealt exactly one seven and no picture…

A: Here given five card poker hand dealt from standard deck of 52 cards  Here total picture cards = 12…

Q: The faces of an eight sided die are numbered one to eight. What is the probability of rolling a 2 at…

A: The number of faces of a die is 8.

Q: Three identical dice are thrown. Find the probability of getting sum at most 16.

A: Solution: From the given information, three identical dice are thrown.

Q: Five coins are thrown. Determine the probability of getting three Tails.

A: Let p be the probability of getting tail. Then p = 0.5 Let X denote the number of tails in throwing…

Q: 3 coins are tossed together, the probability of getting 3 heads is 3 (G) 13 4.

A: probability of getting head = 1/2 Probability of getting tail= 1/2

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: The probability of tossing a tail and then rolling a number greater than 6 is

A: Since , the coin is tossed and right-sided die numbered 1 through 8 is rolled. Our aim is to find…

Q: Find the probability of getting three 3’s and then a 4 or a 5 in four rolls of a balanced die

A: A balanced die means having the same chance of getting each value on the face.

Q: Two dice are rolled, find the probability" that the sum is less than 5

A: if two dice are rolled than the possible outcomes…

Q: Three identical dice are thrown. Find the probability of getting sum at most 17.

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: What is the probability of getting at least 4 in one roll of a die?

A: Sample space for rolling a die is S = {1, 2,3,4,5,6}

Q: 3 coins are tossed together, the probability of getting 3 heads is

A:

Q: At a store, the average number of customers entering is 10 persons per half an hour. What is the…

A: Solution: Let X be the number of persons enter within 10 minutes. From the given information,…

Q: A die is rolled six times.  What is the probability of obtaining two 5's?

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: even coins whose faces are marked 1 and 2 are ing a total of 10. flipped. Find the probability

A:

Q: What is the probability of rolling six dice and getting at least one matched pair?

A: From the provided information, The total outcomes rolling 6 dice = 66 The possible outcome of no…

Q: Two dice are thrown. Determine the probability of getting 4 points.

A:

Q: In recent tournaments a shooter has hit 35 of the 50 shots made. a) In the first round, what is the…

A: Given data: The given hit shots are s=35. The total given shots are n=50. a) The expression for the…

Q: The probability of getting at least 2 heads when a coin is tossed four times is?

A: Obtain the probability of getting at least 2 heads when a coin is tossed four times. The probability…

Q: . For the 47 tires tested, find the probability that the average miles (in thousands) before need of…

A: The mean and standard deviation are 69 and 13, respectively.

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 that a randomly chosen contestant tried singing into the ground or charmed…

A:

Q: Find the probability of rolling less than 5 on a six-sided dice. 1 2 3 1 2 d

A: When roll a six sided dice then the possibile outcomes is { 1,2,3,4,5,6}

Q: On a roll of a die, what is the probability of landing a. Aneven number? b. An odd number? C. prime…

A: We have given that  Roll a die  Total number of outcomes=6 Sample space=S=(1,2,3,4,5,6) A=Even…

Q: getting 50 heads when flipping a fair coin 100 times

A: This problem is to find the probability distribution we can use the binomial distribution,  Normally…

Q: A survey revealed that 36% of people are entertained by reading books, 30% are entertained by…

A:

Q: Find the probability of getting at least 60 heads, when 100 fair coins are tossed.

A:

Q: What is the probability than a 69% free-throw shooter will miss his next free throw ?

A: Probability is defined as the total number of favourable cases of an event divided by the total…

Q: Find the probability of getting two heads when five coins are tossed.

A:

Q: The probability of at least one head in two flips of a coin is

A: The possible outcomes in flipping two coins are: (HH), (HT), (TH), (TT)

Q: Find the probability distribution for the number of heads that occur when 4 coins are tossed.

A:

Q: Find the indicated probability:   Two 6-sided dice are rolled. What is the probability that the sum…

A: We are given, 2 six-sided die rolled. So we first need to write down the possible outcomes from this…

Q: is randomly selected, find the probability that the person oker given the person is a woman.

A:

Q: Find the probability of getting 6 and 5 respectively in two throws of a die.

A:

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.