A piggy bank contains a mix of 60 pieces of nickels and 60 pieces of 25-centavo coins. The two kinds of coin are identical in size. Suppose that the two coins are drawn at a time until the piggy bank is empty. What is the probability that the number of times two nickels are drawn is equal to the number of times two 25-centavo coins are drawn?

Q: In a candy jar, there are 19 blueberry and 13 cherry gumballs. If you randomly select two gumballs…

A: Given Blueberry 19 Cherry 13

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: A student taking a true-false test consisting of 10 questions guesses at the answers. Assuming that…

A: Givensample size(n)=10In true or false the probability of making  correct guess isp=12=0.5 Let "x"…

Q: An urn contains 3 yellow balls and 6 white ball . If Vince chooses 7 balls at random from the urn ,…

A: The number of yellow balls is 3 and the number of white balls is 6.

Q: Two cards are drawn at random from an ordinary deck of 52 cards. Find the probability that the…

A: The provided information is There are 52 cards of deck. We find the probability the 2-card hand…

Q: A box contains 5 red marbles, 6 white marbles, and 8 blue marbles. If a marble randomly selected…

A: Given that Red marble = 5 White marble = 6 Blue marble = 8 Total marble = 6 + 5 + 8  = 19

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

A: We can roll 1 in only 1 way.For a die there are 6 possible outcomes.So, the probability of rolling a…

Q: A pharmacist receives a shipment of 2121 bottles of a drug and has 44 of the bottles tested. If 66…

A: From the provided information, A pharmacist receives a shipment of 21 bottles of a drug and has 4 of…

Q: ass, 75% of students are taking an English class, and 57% of students are taking both. Find the…

A:

Q: A local high school only has two sports teams with a total of 297 students on sports teams: a…

A: Let us denote : A=base ball team B=basketball team   Given that n(A)=106, n(B)=134, n(A and B)=57…

Q: A box contains 3 red balls and 4 blue balls. If two balls are drawn in succession, what is the…

A: Given that  Total balls=3+4=7 Red balls=3 Blue balls=4 Find  P(red and other blue)

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

A:

Q: The contestant selects a box at random and selects a bill from the box at random. If a $100 bill is…

A: Let us define some events A : bill is from box 1. B : bill is from box 2. C : bill is from box 3. D…

Q: A junk drawer at home contains nine pens, five of which work. What is the probability that you…

A: The objective of this question is to find the probability of picking three pens from a drawer, none…

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

A:

Q: You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10. What is the…

A: Given You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10.

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

A:

Q: A die is thrown ten times. What is the probability that the sum of the scores is 27?

A:

Q: A bag contains 20 white marbles, 6 red marbles, 11 blue marbles, and 8 yellow marbles. If a marble…

A: White marbles = 20 Red marbles = 6 Blue marbles = 11 Yellow marbles = 8 Total marbles = 20 + 6 +11 +…

Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number…

A: From the provided information, A fair six-sided die is rolled twice. P (rolling 3) = 1/6 P (rolling…

Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

Q: What is the probability that a single die shows a 1 or a 6 in a single roll? Show your complete…

A: The possible outcomes when rolling a die is {1,2,3,4,5,6}.

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: Find the probability that the first coin is a nickle given that the second coin is a quarter.

A: It is given that No. of quarters = 2No. of dimes = 1No. of nickels = 3Total coins = 6

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

Q: A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of…

A:

Q: A basketball player makes an average of 2 free throws out of every three attempts. If the player…

A: Out of total 3 throws, 2 are made by the player. So the probability of making a throw will be ratio…

Q: Two dice are rolled and someone indicates that the two numbers that come up are different. Find the…

A: Obtain the probability of getting a sum of two numbers is 6.   The probability of getting a sum of…

Q: If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability of getting one queen…

A:

Q: A bag contains 7 RED beads, 8 BLUE beads, and 5 GREEN beads. If a single bead is picked at random,…

A: No.of red beads=7no.of blue beads=8no.of green beads=5Total no.of beads=20

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.