A box contains 50 coins. One coin is a two-headed coin, and the rest are fair coins. You randomly select a coin from the box, flip it 5 times, and always get heads. What is the conditional probability that the selected coin is the two-headed coin (given that you have flipped it 5 times, and always got heads)?

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: 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: group of 5 people each bring an unwrapped gift for a holiday gift exchange. The elves come and…

A: We have to find given probability.

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: Delta Airlines flights from Minneapolis to Atlanta are on time 83% of the time. Suppose 6 flights…

A: It is given that n is 6 and p is 0.83.

Q: Min draws a card from a well-shuffled standard deck of 52 playing cards. Then she puts the cards…

A: Given Data: n(S)=52 n( face cards)=12

Q: A technology manufacturing company has recently switched to the production of isolinear processors.…

A:

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, and Georgia are invited to a dinner party.  They arrive…

A: Given data:   The total number of guests invited to the party is n=6.   The expression for the…

Q: Deal 10 cards from a standard deck (52 cards). What is the probability that the 6th card is a queen,…

A: Given that, Standard deck has 52 cards. So, total number of queens = 4 10 cards are selected at…

Q: A gumball machine at the local pizza place is filled with plastic toys. The machine has 30 rings, 40…

A:

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

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: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They…

A: Total number of members invited to a dinner party = 7So, the total possible number of ways of…

Q: In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the…

A: number of orange ball in a box = 8 number of blue ball in a box = 7 number of red ball in a box = 6…

Q: nd color. Three are jelly-filled, 6 are lemon-filled, and 15 are custard-filled. You randomly select…

A: It is given that Jelly-filled = 3Lemon-filled = 6Custard-filled = 15Total donut = 24

Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: Alana has a packet with 3 silver wrapping papers, 5 golden wrapping papers, and 6 pink wrapping…

A: Given that :  3 silver wrapping paper  5 golden wrapping paper  6 pink wrapping paper  Two wrapping…

Q: vision game show has 9 ​doors, of which the contestant must pick 3. Behind 2 of the doors are…

A: behind 2 doors the  expensive cars  behind 7 doors the consolation prizes total 9 doors   select 3…

Q: The math department at a high school has 9 teachers. 6 females and 3 males. Three of the teachers…

A: We  have given that Total number of teacher = 9 Female teacher = 6 Male teacher = 3

Q: Aleks spins a 9 sided spinner 56 times. Each of the nine sides has a different colour on it.  He…

A: Introduction: Denote X as the random variable of interest here, which is the number of times that…

Q: Leroy has one quarter, one dime, one nickel, and one penny. Two of the coins are in his left pocket…

A: Probability:The formula for probability of an event is given as follows:

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a…

A: Since there are 10 people, the total number of ways that they can arrive is 10! Now, according to…

Q: Three cards are drawn with replacement from a standard deck of 52 cards. Find the the probability…

A: Standard deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into…

Q: Three cards are drawn from a deck without replacement. Find the probability the first card is a…

A: the first card is a spade, the second card is a club, the third card is a black card.

Q: Ashley is holding a fair six-sided die and a fair coin. If Ashley rolls the die once and then flips…

A:

Q: Ten students in your class put their names on slips of paper inside a box. Out of the ten students,…

A: Solution: From the given information, there are 4 girls and 6 boys. Here, five names should be…

Q: Four people buy raffle tickets and place all of their tickets into a hat.  Raphael bought 8 tickets,…

A:

Q: Jordan went to shelter to adopt a dog. There were 10 brown dogs and 10 black dogs. Jordan picked a…

A: given data  10 brown dogs 10 black dogs _________________ 20 total dogs

Q: A gumball machine contains 4 red gum balls, 2 blue gum balls, and 5 yellow gum balls. You put a coin…

A: In a gumball machine 4 red balls, 2 blue balls and 5 yellow balls. two gum balls come out one after…

Q: Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all…

A: