There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

Q: Joe rolls a 6-die and Magdalena rolls an 8-die. What is the probability that Joe rolls a larger…

A: Given information: Joe rolls a 6-faced die. The possible numbers that are rolled by Joe are 1, 2, 3,…

Q: Four persons are sitting at a rectangular table. What is the probability that the two older people…

A: From the given information we find the probability.

Q: A card is drawn from a deck of 52 cards. What is the probability that it is a numbered card (2-10)…

A: The question is about probability Given : No. of cards in a deck = 52   To find : Prob. that a…

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: What is the probability of flipping a fair coin and getting heads twice in a row?

A: Flip a fair coinP(Heads twice in a row) = ? for fair coin P(Head)=P(Tail)) = 0.5

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: when a coin is tossed

A: A coin is tossed 2 times.

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

Q: A card is drawn from a well shuffled pack of 52 cards. Find the probability of getting a king…

A: Answer: From the given data, Total number of cards = 52 If one card is drawn from a well shuffled…

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

A:

Q: If you select one card at random from a standard deck of 52 cards, what is the probability that the…

A:

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: Of 1100 students at Brown High School, 450 attended the first school dance of the year. Only 233…

A: Let define the events: A = Students attended the first school dance of the year B = Students…

Q: John rolled a pair of dice. What is the probability that they would sum to 6?

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

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: A candy dish contains nine brown and four red M&Ms. A child selects four M&Ms without checking the…

A:

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a face or a…

A: Given : Let A be the event of getting face card from a deck of well-shuffled cards  P(A) = 1252 Let…

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: If the publisher sells magazines to 70 people out of 300 contacted. What would be the probab

A:

Q: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

A:

Q: If two coins are tossed, what is the probability of getting both heads

A:

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: My friends owns 21 tapes. I want to help her randomly arrange 10 of them in a tape rack. What is the…

A: Given data my friend owns 21 tapes. I want to help her randomly by arranging 10 of them in tape…

Q: You choose a letter at random from the alphabet. What is the probability that it will be the letter…

A: Given : we have given letter n, g, l, a, s  No. of letters = 5 No. of  alphabet = 26 One letter is…

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

A: Solution

Q: A toddler is playing with some magnetic letters on the refrigerator. He has the letters l, t, b, a,…

A: From the given information, the letters are l, t, b, a and e.The given 5 letters are arranged in…

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.