Mr. Gottschalk flips a fair coin 4 times and each flips lands heads-up. He says, “There is no way I’ll flip heads again. The next one is definitely going to be tails.” Explain to this person what is wrong with this reasoning. Is it independent event?

Q: what is the possible outcomes in tossing a coin 3 times?

A: Given :  Tossing a coin 3 times

Q: John plans to toss a die until he observes two even numbers. What is the chance that the 2nd even…

A: For a dice roll the sample space is given by: S=1,2,3,4,5,6 so the probability of getting odd number…

Q: Relate how toss or flip of a coin and its two possible events to happen every time it goes into the…

A: Concept: The occurrence of a random event which is the branch of mathematics is called probability,…

Q: It is a collection of simple events. Answer must be in small letters.

A: It is a collection of simple events.

Q: dice are rolled and their up faces are noted. What is the probability both numbers are even given…

A: When two dice are rolled the total outcomes are 62=36 Let A be the event that sum is 4…

Q: Box I contains 4 red chips and 2 white chip. Box II contains 3 red chips and 3 white chips. One chip…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: here are four dice rolled once, what is the probability of getting 22 or more?

A: From the given information we find the probability.

Q: Suppose you flip a coin three times in a row and record your result. For example, flipping heads…

A: GivenThree coins are flipped in a rowThen the possible outcomes…

Q: what does it mean when two events are disjoint? what does it mean two events are complements?

A: Disjoint events:Two events A and B are said to be disjoint, if the probability of them both…

Q: Two fair dice are rolled. What is the probability that the sum or product of the two numbers rolled…

A: Given: Two fair dices are rolled. Probability that the sum or product of the two number rolled is…

Q: What is the probability of rolling two dice and getting a sum of 7 or 11, if one of the dice is…

A:

Q: What is the probability of three heads in five flips of a fair coin? Of four heads?

A:

Q: If we roll two dice, what is the probability that the sum of the numbers on top is 7?

A: Given data: The number of dice rolled is: n=2.   The expression for the number of sample space when…

Q: series of cards is drawn from a deck (without replacement).  What is the chance that you get 2 cards…

A: Probability of drawing cards of spades and Hearts

Q: How would you explain the difference between mutually exclusive and independent events?

A: Consider an experiment of tossing two coins, Then the sample space is  Ω = { HH, HT, TH, TT…

Q: Suppose a coin is flipped 3 times. What is the probability of getting two tails and one head?

A:

Q: Describe about the Coin-Tossing Example.

A: The formula for probability is given as

Q: 2 dice are rolled and their up faces are noted. What is the probability both numbers are even given…

A: We are given that 2 dice are rolled, and their up faces are noted. Now, we need to find the…

Q: There are 28 students in a class taking a test. What is the chance you can guess correctly who is…

A: Given information: It is given that there are 28 students in the class taking the test.

Q: What is the event that the outcome of rolling a fair dice is an odd number?

A: Given that  Rolling of fair dice the the sample space is. S={1,2,3,4,5,6} S=6

Q: Dr. Neel asks you if you would like to play a game of chance. He has a jar filled with 100 marbles.…

A: Total marbles, n= 100 Probability of selecting Blue marble= probability of earn 1 point= P(B)=…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: An urn contains forty red marbles and sixty green marbles. Two marbles are selected and discarded,…

A: An urn contains 40 red marbles and 60 green marbles. Total number of marbles in the urn is It is…

Q: Atlantic Lotto recently came out with a new lottery game called “Daily Grand”. This lottery is split…

A:

Q: Suppose you flip a fair coin 10 times. Is the probability that you get TTTTTTTTTT the same as​…

A: The given coin is fair. The prob of getting head =The prob of getting tail=1/2 P(T)=1/2 P(H)=1/2

Q: If you toss 6 coins, what is the probability of all 6 coins matching?

A:

Q: Give  some events or real life example of permutation, combination, probability of evants and…

A: The real life examples for the required scenarios are as follows:

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: Professor Ramos will participate in a lottery that will be played by five hundred participants. He…

A: Total number of participants = 500 (This implies 500 lottery tickets are there) Professor Ramos buys…

Q: what is the probability you will get heads when flipping a coin?

A:

Q: In how many ways can they be placed into the five positions of the high committee if i. there is no…

A: HERE GIVEN JESS AND HER 4 CLASSMATES HAVE BEEN SELECTED TO FORM COMMITEE

Q: What does it mean for two or more events to be mutually exclusive?

A: Mutually exclusive eventsTwo events are said to be mutually exclusive if they have no element in…