A box contains 3 coins, where one coin is fair, one coin is two-headed, and one coin is weighted so that the probability of heads approaching is 1/3. A coin is selected at random and tossed. Find the probability that heads appear.

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: In a large population, 61 % of the people have been vaccinated. If 4 people are randomly selected,…

A: The question is about discrete probability distribution Given : Popl. prop. of people have been…

Q: f obtaining more tails than head

A: Since the number of outcomes with the 4H and 4T is C(8,4)=70, there is an equal possibility for the…

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: In a large population, 61 % of the people have been vaccinated. If 3 people are randomly selected,…

A: p(vaccinated) = p = 0.61 ∴ p(not vaccinated) = 1 - 0.61 = 0.39 select 3 people at random p(atleast…

Q: In a large population, 56 % of the people have been vaccinated. If 5 people are randomly selected,…

A: given data, p( vaccinated)=p =0.56n=5q=1-p=1-0.56=0.44x= no. of vaccinated

Q: A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples isdrawn without…

A: From the provided information,A basket contains 8 red apples and 6 yellow apples. Total apples = 14A…

Q: n the game of chess there are 32 pieces: 2 kings, 2 queens, 4 rooks, 4 bishops, 4 knights, and 16…

A: Game of chess there are 32 pieces: 2 kings, 2 queens, 4 rooks, 4 bishops, 4 knights, and 16 pawns We…

Q: Find the probability getting exactly 11 heads in twenty tosses of a coin.

A: The probability of getting a head in tossing a coin is 0.5. p=0.5 Given  n=20 x=11

Q: uppose a jar contains 15 red marbles and 15 blue marbles. If you reach in the jar and pull out 2…

A: Number of red marbles=15Number of blue marbles=15Total number of marbles=30

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

Q: A single die is rolled eight times. find the probability that 6 appears once or twice.

A: Let X represent the number of times 6 appears n=8 p=1/6   X~ Binomial (8, 1/6)

Q: A coin is tossed and a die is rolled. Find the probability of getting a tail and a number greater…

A: A coin is tossed and a die is rolled. Chances of getting a tail or head are equally likely P(Tail) =…

Q: A COIN IS TOSSED AND A DIE IS ROLLED.  FIND THE         PROBABILITY OF TOSSING A TAIL AND THEN…

A:

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: An opaque bag contains 16 yellow marbles and 22 teal marbles. If two marbles are randomly chosen…

A: Answer: From the given data, number of yellow marbles = 16 number of teal marbles = 22 Total number…

Q: 100 people each have a probability of 0.01 of contracting a disease. What is the probability that…

A: Let the random variable X denote the no. of people contracting a disease and it follows binomial…

Q: In a large population, 51 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: In a large population, 62 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Answer: From the given data, P(people vaccinated) = P = 62% = 0.62 Number of people selected…

Q: a coin and a dice roll together six consecutive times. What is the probability of encountering for…

A: Given: Number of rolls = 6 Number of faces in a dice = 6 The sample space in one roll = (H1, H2, H3,…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: In a class of 15 students there are 5 boys and 10 girls If a committee of 6 students is selected at…

A: 5 - boys 10 - girls ____________ 15 - students in class select committee of 6 students. p( 3 boys…

Q: A jury consists of ten men and five women. Five jury members are selected at random for aninterview.…

A: Obtain the probability of choosing three men and two women. The probability of choosing three men…

Q: A bottle contains 18 tablets of 6 aspirin, 4 tylenol and 8 advil. 6 tablets are randomly selected…

A: We have found that a bottle contains 18 tablets of 6 aspirin, 4 Tylenol, and 8 Advil.We selected 6…

Q: In a large population, 70% of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

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: A die is thrown twice. What is the probability of getting the sum 7?

A: Total possible outcomes when A die is thrown twice = 36

Q: A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater…

A: Given that  A coin is tossed and a die is rolled. Sample…

Q: 60 boys and 20 girls are there in a class. Half of the boys and half of the girls of the class play…

A: There are 60 boys and 20 girls in the class. Half of the boys and half of the girls of class play…

Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…

A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…

Q: coin is tossed 6 times. Find the probability of getting at least 1 tail.

A:

Q: fair coin is flipped 5 times. Find the probability of flipping exactly 4 head

A: Given that  A fair coin is flipped 5 times. (n) = 5  The result may be heads or tails.   We know…

Q: A fair coin is tossed 200 times. Find the probability that heads will show 100 times.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.