What is the probability that the first time a ball drops into the red slot is on the 8th trial (in other words, suppose you are betting on red every time-what is the probability of losing 7 straight times before you win the first time)?

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: It is given that P( orchestra ) = 3% = 0.03P( band ) = 5% = 0.05P( orchestra and band ) = 1% = 0.01

Q: A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser…

A: Given data There are  38 orange gum balls 30 purple gum balls 18 yellow ones.

Q: In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: #let x be the nonof match end with tie with probability p=0.2 follow binomial distribution…

Q: Lidia keeps eight cards with the picture of a tomato and four cards with the picture of a carrot on…

A: There are 8 cards with tomato and 4 cards with a carrot. So there are total (8+4)=12 cards.

Q: You have three jars of gumballs. The first jar has 80 white gumballs and 20 green, the second jar…

A: Ist jar =80 white+20 green Second jar: 80 white+170 blue Third jar: 500 white+20 red

Q: In a 52-number lottery, what is the probability that you will get the winning ticket (6 numbers out…

A: Given : Total number of lottery = 52

Q: Out of a deck of cards, what is the probability of getting a king of anyhting but hearts?

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: What is the probability of winning more than $5 in one play?

A: From the given information we have the following table after finding probability at P(X=5) = 0.09…

Q: At a dog show, there are 26 tickets in a raffle cup for the basket I want (including mine).  What is…

A: The total number of tickets are 26 and only one ticket per person in the cup is allowed.

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: You have 10 hats: 3 baseball hats, 2 cowboy hats, and the remaining are beach hats. You also have 3…

A: The objective of this question is to find the probability of choosing a beach hat and a white shirt…

Q: John has four bottles: cola, root beer, ginger, orange drinks. He chooses three of these for a…

A: Let, C=cola R=root beet O=orange    Sample set={CR, RC, CO, OC, RO, OR}  n(S)=6

Q: Ben wants to try a new restaurant for dinner .His online search resulted in 7 new 3-star…

A: Probability  = Number of possible event /total number of possible outcomes

Q: Julianna is baking cookies for her Hospitality Management. Out of 50 cookies she baked, 10 are…

A: From the provided information, Out of 50 cookies she baked, 10 are defective. Professor randomly…

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

A:

Q: Suppose you win blackjack 47% of the time. What is the probability that you lose 3 games in a row…

A:

Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: What is the probability that a five-card poker hand contains the one of diamonds, the three of…

A:

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: Your favorite board game used a spinner with three equally possible outcomes: red, yellow, or blue.…

A: There are three colors which are equally possible. So, the probability of getting red = 13the…

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

A:

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

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: adrian has 5 keys on a key chain and one of the keys is used to unlock his office door. if adrian…

A:

Q: In a game with four players, each are dealt 13 cards from a standard 52 card deck. What is the…

A: Introduction: Each of the 4 players are dealt with 13 cards, evidently randomly, from the standard…

Q: i have a 20p a 10p and a 2p coin, what is the probability of getting two tails and a head in any…

A:

Q: Imagine you are betting on a horse race. Say you bet on horse #3 to win first place and horse #12 to…

A: Given that there are 20 horses.  The first horse can be selected in 20 ways and the second horse can…

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: A shop has 72 customers in two hours . What is the probability that at most three customers will go…

A: There are 72 customers in 2 hours (120 minutes). So, average number of customers in a minute =…

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: Paul has 6 black pens, 3 red pens, and 14 pencils in his desk drawer if he reaches into his desk…

A: 6 black pens3 red pens14 pencils __________23 total itemsselect one at random. P(grab a pen) = ?

Q: You are to draw two cards without replacing the first one. What is the probability of having a king…

A: Multiplication Rule for two Independent events:If the events A and B are said to be independent…

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: Dad’s music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: Given that  Total music albums = n = 5 + 3 + 1 = 9 Rock music albums = 5 Classical music albums = 3…

Q: The Dallas Mavericks play the Oklahoma City Thunder in a best of 7 game NBA playoff series. If the…

A: The given scenario follows binomial distribution with n=7 and p=0.40.

Q: What is the probability of getting either a four or a five when drawing a single card from a deck of…

A:

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four cards of 5 There are 13 cards of hearts.  There is 1 card which is 5 of hearts.  So…

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.