A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

Q: Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. Two beads are drawn without…

A: She can pick the first yellow bead in 10 ways. Since the process is without replacement, so she can…

Q: What is the probability of throwing a total of 8 with 3 dice ?

A:

Q: There are 5 boys and 8 girls in a room. What is the probability that group of five have more boys…

A: There are 5 boys and 8 girls in a room.  TOTAL 13 people in room here use hypergeometric…

Q: A coin is tossed 3 times. What is t

A: From the given information, A coin is tossed 3 times. Total outcomes is 2^3=8 (HHH, TTT, THH, HTH,…

Q: A dice is rolled 3 times. What is the probability that a 6 will appear in the toss?

A: Given Information: A dice is rolled 3 times. To find the probability that a 6 will appear in the…

Q: Mr. Razo has a hat with 10 slips of paper. There are 5 blue slips, 2 red slips, and 3 black slips.…

A: Mr. Razo has a hat with 10 slips of paper. There are 5 blue slips, 2 red slips, and 3 black slips.

Q: A coin is tossed five times. What is the probability of getting 3 tails in these five tosses? Enter…

A:

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: 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: probability

A: According to the given problem, nB=4nY=2nR=6 The experiment is to draw a ball randomly from the bag.…

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: What is the probability of having 3 boys given the oldest is a boy?

A: The theory of probability has its origin in the seventeenth century. The king of France who…

Q: open up a bag of M&M's to discover 44 pieces of chocolate. 12 of the pieces are blue. If I…

A: Given Total 44 pieces of chocolate 12 are blue

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: Two boxes are selected randomly. The first box contains 2 white balls and 3 black balls. The second…

A:

Q: A pair of dice is rolled. What is the probability of rolling a sum greater than 7 and less than 11?

A: Since there are two dice are rolled it means the total possible combination is 36 (sample space).…

Q: Two coin are tossed. What is the probability of tossing “two heads or two tails”?

A:

Q: I roll twelve fair six-sided dice. What is the probability that I roll each number twice?

A: The objective of this question is to find the probability of rolling each number from 1 to 6 twice…

Q: I roll twelve fair six-sided dice. What is the probability that I roll each number twice?

A: The objective of this question is to find the probability of rolling each number from 1 to 6 twice…

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: 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: If you toss 6 coins, what is the probability of all 6 coins matching?

A:

Q: If you roll two dice what’s the probability of rolling a seven the numbers on the dice add up to…

A: we roll two dice total possibilities = 62=36all outcomes are equally likely

Q: What is the probability of having 4 boys given the oldest is a boy?

A: Solution

Q: A bag has 12 blue marbles and 24 red marbles. If you draw 3 marbles with replacement, what is the…

A: Let p be the probability of blue marble let n be the number of marble which one is drawn X be the…

Q: What is the probability that all 3 cards are Queens?

A: Number of Queen cards = 4 Total number of cards = 52 Define some events A: first card is Queen B:…

Q: A 6 sided and a 10 sided die are rolled simultaneously. What is the probability both dice will show…

A: Given that A 6 sided and a 10 sided die are rolled simultaneously.the probability that both a…

Q: What is the probability of getting from two throws of a dice? a sum 9

A: Given;we throw a dice two times.

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.