(5) A fair die is rolled repeatedly. (a) Give an expression for the probability that the first five rolls give a four at most two times. (b) Calculate the probability that the first two does not appear before the fifth roll. (c) Calculate the probability that the first six appears before the twentieth roll, but not before the fifth roll.

Q: This is the empirical probability because my example uses past experiences to predict how many white…

A: Given information: Empirical Probability & Theoretical probability

Q: ll a six sided die. Find the probability of the following scenarios. (A) Rolling a six or a number…

A: given data, you roll a six sided die,sample space:[1,2,3,4,5,6}here total outcomes=6we have to find…

Q: 4) A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one…

A: The number of red flowers in the box are 10. The number of white flowers in the box is 12.

Q: (a) Find the probability that the card is an even-numbered card. (b) Find the probability that the…

A: To find the given probabilities from a standard deck of 52 cards.

Q: exact

A: Here use binomial distribution  Finite number of toss Each trial is independent from each other…

Q: #2 A bowl contains 3 yellow beads, 21 green beads, 12 blue beads, and 6 red beads. if 1 bead is…

A:

Q: A bag contains 3 Red and 4 Black balls, A ball is drawn at random from What is the probability that…

A:

Q: (i) Six dice are thrown 405 times. How many times do you expect to at least 5 dice to have a four or…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Two machines turn out all the products in a factory, with the first machine producing 30% of the…

A: It is given that, the first machine produces 30% of the product and the second machine produces the…

Q: going to randomly chOose 2 poker chips from a bag, one at a time, and record the color a) If there…

A: Solution

Q: It just asks: (a) Find the probability of being dealt a "tens over jacks" full house (three tens…

A: (b) The number of different types of full houses: Therefore, there are 3744 different ways to make…

Q: What notation do we use for finding the probability that the sum is 6 given that the first die is a…

A: 1) Given,  A die is rolled twice. P(Sum is 6 given that first one is 5) Here, it is conditional…

Q: keys one after another, then find the following (i) the probability that the door is opened in the…

A:

Q: (a) an even number (c) an odd number appears (b) a prime number appears (d) an odd prime number…

A:

Q: (a) Suppose that you throw 5 dice. Find the probability that you get at least one 6. (b) Suppose…

A: As per guidelines expert have to answer first question only...

Q: A student is given 4 true or false questions. The student does not know the answer to any of the…

A: Given, A student is given 4 true or false question. He tosses a coin. Each time he gets a head, he…

Q: Suppose that you toss a fair coin until a head appearsand count the number X of consecutive tails…

A: As we know that when we toss a fair coin, there are two possible outcomes i.e. Head and Tail Here,…

Q: Referring to the birthday problem, assume that it is equiprobable to have a birthday in any month of…

A: Suppose that there are six people in a room. Assuming that it is equiprobable to have a birthday in…

Q: Three people toss a fair coin and the odd man pays for coffee. If the coins all turn up the same,…

A: Three people toss a fair coin

Q: (a) If a coin is flipped, find the probability that a head will turn up. (b) If a fair die is…

A: (a) To find the probability that a head will turn up if a coin is flipped. Solution: We know that,…

Q: An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept out of…

A: Given,   No. of Red balls=3  No. of blue balls=2P(R)=3/5…

Q: Question [6 About 75% of dog owners buy holiday presents for their dogs. Suppose n= 9 dog owners are…

A: Given : p = 0.75 q = 1-p    = 1 - 0.75 = 0.25 n = 9

Q: You pick three cards at random from a standard deck. Find the probability of each event described…

A: select three cards from 52 card deck.  we have to find probability of given events.

Q: Find the probability of the following events. a. Getting an odd number in a single roll of a die…

A: a) Sample space={1,2,3,4,5,6} Let A denotes the event of getting Odd number. A={1,3,5}. The…

Q: Find the probability that in five tosses of a dice a 6 appears (a) at no time, (b) once, (c) twice,…

A:

Q: (a) Suppose that you throw 4 dice. Find the probability that you get at least three 3s. (b) Suppose…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ©What is the probability that five children produced by the same couple will consist of (a) three…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: Find the probability of an event E if the odds for E is equal to the odds against

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its…

Q: An inventory study shows that, on average, online orders for a particular product is made 5 times…

A: GIVEN DATA  λ = 5 per dayt = time until get next order  or time required to get first order x…

Q: A gambler has a fair coin and a two-headed coin in his pocket. He randomly selects one of the coins.…

A: Given that a gambler has a fair coin and a two-headed coin in his pocket. He randomly selects one of…

Q: (b): What is the probability if one tossing (3 coins) will get either one head or one tail for the…

A:

Q: (a) There are 4 red balls and 6 blue balls in a bag. A ball is drawn at random from the bag. If the…

A:

Q: The probability that a company will make a profit this year is 0.76. (a) Find the probability that…

A: given data  P(make profit this year) = p = 0.76

Q: (a) The probability of getting at least two 6s is (Round to four decimal places as needed.) (b) The…

A: Here For Dice Rolling  No of Trial is fixed  Probability of success is Constant  Each roll Is…