A gambler has a fair coin and a two-headed coin in his pocket. He randomly selects one of the coins. (a) Suppose that he flips the selected coin twice, and both show heads. Find the probability that the selected coin is the fair coin. (b) Suppose that he flips the selected coin four times, and all show heads. Find the probability that the selected coin is the fair coin.

Q: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: Assume that there are 13 board members: 7 females, and 6 males including Simeoni. There are 5 tasks…

A: 1) Given that there are 13 board members in which 7 females and 6 males including Simeoni. There are…

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: You have two unfair coins.  One coin has a probability of 0.55 of landing heads, and the other coin…

A: Given that  You have two unfair coins. One coin  Probability of landing head P(H1 ) = 0.55…

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: A building contractor buys 90​% of his cement from supplier A and 10​% from supplier B. A total of…

A: Solution: Let X be the event that contractor buys cement from supplier A and Y be the event that…

Q: A flower shop is about to close for the day when a customer walks in a hurry and asks for a bouquet…

A: Answer - The shop owner has  12   yellow roses and   13   red roses left after a busy day, Total =…

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

A:

Q: Suppose that you have randomly picked up TWO students. In a class, there are 1 freshman, 7…

A: It is required to find the probability that, none of the two randomly selected students is a…

Q: Suppose there are 7 jelly beans in a box-4 red and 3 green. If a jelly bean is selected at random,…

A:

Q: A game show contestant must randomly select a door.One door doubles her money while the other three…

A: The number of doors doubles her money is 1.

Q: Assume that there are 15 board members: 10 females, and 5 males including Joe. There are 2 tasks to…

A: Given information: According to the given information, the total number of board members is n(S) =…

Q: Suppose that the probability that Bob eats a banana at lunch is  14%.  Also, suppose that the…

A: Given that, The probability that Bob eats a banana at lunch is,  0.14 The probability that Bob eats…

Q: pitcher contains 3 red and 2 black marbles. You select two marbles without replacement. What is the…

A:

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 couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 black ​balls, 7 orange…

A: There are 6 black balls, 7 orange balls are 7 red balls in the bag.

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: 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: flipped. If it shows heads, you draw a marble from shows tails, you draw a marble from urn B with 3…

A: Given: P(H)=0.7 P(T)=0.3 Heads-Urn A-1 Blue and 4 red Tails- Urn B- 3 blue and 1 red

Q: A couple has 2 children. What is the probability that both are girls if the older of the two is a…

A:

Q: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number…

A: Given: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown…