1. A fair six-sided die is rolled 8 times. If a 1 or a 4 land uppermost, the throw is considered a success. Otherwise it is a failure. Find the probability of obtaining exactly 3 successes in the 8 throws.

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

Q: A die is rolled 12 times. Find the probability of rolling no more than 3 threes

A: From the given information, a die is rolled 12 times.The outcomes for the die are 1, 2, 3, 4, 5 and…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples isdrawn without…

A: From the provided information,A basket contains 8 red apples and 6 yellow apples. Total apples = 14A…

Q: Suppose there are 3 white balls, 4 black balls and 2 red balls in a box.  If one ball is randomly…

A: Number of white ball in box = 3  Number of black ball in box = 4  Number of red ball in the box =2…

Q: Suppose you and your brother play a Ludo game, the winning probability of your brother is 0.04. Find…

A: In the given situation, you and your brother play a Ludo game. The winning probability of brother is…

Q: A bag contains 2 red marbles, 5 green marbles, and 7 blue marbles.  You randomly draw a handful of 4…

A:

Q: A basket contains 4 pink clips, 6 purple clips, and 5 white clips. Daisy picks one clip and records…

A: given data,a basket contain 4 pink clips                              6 purple clips…

Q: ability of getting "six" at

A:

Q: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: A coin is flipped 3 times. Determine the probability that one tail will result from the three…

A: We have to use Binomial distribution. Binomial distribution : If random variable x follows Binomial…

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies. You grab a handful of 9…

A:

Q: restaurant

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Q: A jar contains 300 M&Ms. 170 are green and 130 are red. You randomly take 10 M&Ms from the…

A:

Q: Calculate the probability that at most 2 of the roses were Eden Roses.

A: let Number of eden roses = X

Q: If two players play this game

A: Fair means The coin has to get a chance heads or tails is 50-50%. unfair coins having more chances…

Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…

A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…

Q: A bag contains 6 white and 4 black balls . two balls are drawn at random . Find the probability that…

A: Given: White balls = 6 Black balls = 4

Q: A jar contains 300 M&Ms. 170 are green and 130 are red. You randomly take 10 M&Ms from the…

A: Step 1:Given data : N=300   total number of M&Ms in the jarK=170   number of green M&Msn=10…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A:

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Given,Number of red chips, n(red) = 5Number of blue chips, n(blue) = 3Number of orange chips,…

Q: coin is tossed 6 times. Find the probability of getting at least 1 tail.

A:

Q: There are 6 red eggs and 8 green eggs in a tank. Joe reaches in and randomly eats 4 eggs. What is…

A: Given: Number of red eggs, n(R)=6. Number of green eggs, n(G)=8. Total number of eggs, N=14.…

Q: Two dice are thrown together.What is the probability that the sum of the number on the two faces is…

A:

Q: fair coin is flipped 5 times. Find the probability of flipping exactly 4 head

A: Given that  A fair coin is flipped 5 times. (n) = 5  The result may be heads or tails.   We know…

Q: If you roll 6 six-sided dice, find the probability that the sum of the dice is greater than 7.

A: A six-sided die is rolled 6 times. The objective is to find the probability that the sum of the dice…

Q: Suppose there are 12 blue, 8 white and 6 red balls in a bag. If one ball is randomly selected…

A: Answer: From the given data, Number of blue balls = 12 Number of white balls = 8 Number of red balls…

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: Total number of balls in the jar is 23 (5 +3 + 8 + 7) and number of green ball is 8. The probability…

Q: A chest of pirate treasure has 8 fake coins, 6 plastic jewels, 5 painted stink bombs, and 2…

A: Here we have to find the probability.

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.