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 shows up heads 75% of the time. When one of the three coins is selected and flipped, it shows heads. What is the probability that it was a two-headed coin?

Q: If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen,…

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Q: If four dice are rolled, what is the probability that each of the four numbers that appear will be…

A: If four dice are rolled, p ( each of the four numbers that appear will be different ) =?

Q: A customs inspector decides to inspect 3 of 16 shipments that arrive from Madrid by plane. If the…

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Q: What is the probability that any two peas aregreen and two are yellow in a pea pod with exactly four…

A: For each pea, there are 2 options green and yellow.  Let us denote G=green and Y=yellow So the…

Q: What is the probability that the selected individual has neither type of card?

A: Given that P(A) = 0.5, P(B) = 0.4, P(A and B) = 0.25

Q: In a certain population of women, 40% have had breast cancer, 20% are smokers and 13% are smokers…

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Q: If a person randomly picks 4 of the 15 gold coins adealer has in stock, and 6 of the coins are…

A: Given , No of gold coins n=15No of random picks r=4P6 coins are counter feits=?

Q: If one card is randomly chosen from a standard deck, what is the probability that a 5 is chosen,…

A: A pack of cards contains 52 cards in total with 13 Spades, 13 Diamond, 13 Hearts & 13 Clubs.

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

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Q: If you flip a fair coin and then flip a second fair coin, what is the probability that you get heads…

A: Two fairs coins are flipped once. Each of the coin flips can have either of the two outcomes - heads…

Q: In a science class of 35 students, 15 are boys and 20 are girls. On a unit test, 5 boys and 8 girls…

A: We will use probability formula to find solution to the problem .

Q: If one card is randomly chosen from a standard deck , what is the probability that a 6 is chosen,…

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Q: The sex ratio of newborn human infants is about 105 males: 100 females. If four infants are chosen…

A: Given, sex ratio of newborn human infants is about 105 males: 100 females. sex ratio for male p =…

Q: In a math class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys and 5 girls…

A: Given,no.of boys=17no.of girls=13total no.of students=30

Q: From an ordinary deck of 52 playing cards, what is the probability that if 5 cards are to be dealt,…

A: Total no.of cards=52no.of face cards=12

Q: A survey reveals that 80% of the eligible people in a certain county vote during a county election.…

A: Here, n = 70 and p = 0.80.

Q: A labour department reports that 20% of the workforce in large corporation is unemployed. It…

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Q: Mr. Moreland is having trouble keeping track of his marbles. He thinks he has six purple marbles,…

A: From the provided information, Total purple marbles = 6 Total red marbles = 5 Total blue marbles = 3…

Q: In a group of 5 people, what is the probability that at least two of them have the same birthday?…

A: Given: group of 5 people group of 50 people  we want to find probability that at least two have the…

Q: In a small private school, 5 students are randomly selected from 12 available students. What is the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 5?…

A: Note: Since algorithm is computer subject, only Probability question is to be solved. Kindly re…

Q: A jar contains four red marbles, five green marbles, and three blue marbles. If one marble is…

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Q: From a well-shuffled standard deck of 52 cards, one card is to be selected. What is the probability…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: If you flip three fair coins, what is the probability that the first two flips will both be heads,…

A: Let S be the sample space of given experiment, and A be the event then, probability of A ,…

Q: you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail…

A: We want to find probability

Q: A hotel has 20 rooms on the first floor, 60 rooms on the second floor, 40 rooms on the third floor,…

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

Q: .Two cards are drawn successively from a deck of 52 cards, what is the Probability that the first…

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Q: If 5 cards are drawn from a standard deck of playing cards, what is the probability that exactly 3…

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Q: If a randomly selected student owns a cell phone, what is the probability that this student also…

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Q: What is the probability that a hand of 4 cards contains exactly 3 cards that are the same suit?

A: We have to find given probability ...

Q: What is the probability that, if three identical coins were flipped, all would end up heads? What is…

A: If three identical coins are tossed then the sample space is S = {HHH, HHT, HTH, THH, HTT, THT, TTH,…

Q: If the selected chip is white, what is the probability that the other chip in the bowl is red?

A: It is given that the white chip is selected. Hence, either bowl B or bowl C is chosen. (Bowl A has…

Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given: Number of Americans =19 Number of Canadians =131

Q: If the president and vice-president are selected at random, what is the probability that they are…

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Q: In a large county in Central Texas, 41% of all registered voters are Democrats and 33% are…

A: It is given that the probability of registered voters are democrats is 0.41 and the probability of…

Q: The National Fire Incident Reporting Service stated that, among residential fires, 70% are in family…

A: For the given data Find the probability

Q: A four-person committee is randomly selected from a pool of 19 Americans and 13 Canadians. What is…

A: No.of Americans = 19  No.of Canadians  = 13 Total no.of persons = 32 (i.e. 13+19) Consider that…

Q: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a…

A: It is given that, Two cards are drawn from the deck. Total number of cards in a deck=52 Total number…

Q: If a fair coin is tossed 8 times, what is the probability of tossing a head on the 8th toss, given…

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Q: When a single card is drawn from a well-shuffled deck of cards, what is the probability that it will…

A: Given, n = 52 cards single card is drawn.         To find, The probability that it will be an ace…

Q: If three coins are​ flipped, what is the probability of obtaining at least one head​?

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Q: If two coins are tossed,what is the probability obtaining at most one head?

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Q: A girl has five die, two of which are four-faced, one is eight-faced and two are six-faced, all…

A: two are four faced so number of faces is 8 of which there are two 3s one is eight faced so number of…

Q: Two coins are tossed, what is the probability that exactly one is heads ?

A: if two coins are then the possible outcomes areS=HH,HT,TH,TT

Q: A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random,…

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Q: You are in a 12-member panel. If two people from the panel are selected to represent the panel, what…

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Q: Suppose you toss a coin (heads or tails) three times. If the coin is fair, what is the probability…

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Q: A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of…

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Q: If we draw 10 cards for my standard 52 card deck, what is the probability that all 10 cards are…

A: Let, x is the number of cards drawn, 10. y is the number of cards of hearts. The total number of…

Q: If a single die is rolled four times, what is the probability it lands on 4 on the first, second,…

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Q: In a given​ county, records show that of the registered​ voters,50%are​ Democrats,40%are​…

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Q: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…

A: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…