How many dice must be thrown so that there is a better than even chance of obtaining a six?

Q: An 20-sided dice with numbers from 1 to 20 is rolled. What is the probability that a number less…

A: we have to find the probability that a number less than 7 is rolled....

Q: When two balanced dice are rolled,there are 36 possible outcomes.What is the probability that the…

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Q: If six face dice is rolled once, what is the probability of getting less than 3 on it

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Q: Find the chance of throwing at least an ace in a single throw with 2 dice?

A: Solution is given:

Q: You roll two six sided fair dice. What is the probability of getting the sum of two dice that is at…

A: A pair of standard dice is rolled. In case of two dice, there are 36 different possibilities as…

Q: A pair of dice is rolled. What is the probability of getting a sum of 8?

A: The sample space for pair of dice is rolled is given below:

Q: 6. A jar contains 10 blue marbles and 11 red marbles. Two marbles are drawn without replacement.…

A: Jar contain 10 blue marble and 11 red marble, Therefore jar contain total 21 marble, Out of 21…

Q: If we roll three six-sixed dice, what's the probability that all three show even number

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Q: Two fair dice are rolled, Find the probability of getting a sum of less than 6

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Q: What is the probability of rolling two standard dice where the first die rolled is a number greater…

A: Given Rolling of two die  Total outcomes when two die are rolled = 36 Multiple of 3 are 3,6,9,12…

Q: What is the probability of obtaining either four or five heads if a fair coin is tossed 10 times?

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Q: 2. If a dice is rolled one time, find the probability of: a. getting 4, b. getting an even number,…

A: According to bartleby expert guidelines we can answer only first three subparts. Rest can be…

Q: How many dice must be thrown so that there is a better than even chance of obtaining at least one…

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Q: If two balanced dice are rolled, what is the probability that the difference between the two numbers…

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Q: What is the probability of rolling seven dice and getting at least one matched pair?

A: From the provided information, Seven dice are rolled. The total outcomes rolling 7 dice = 67 The…

Q: 15 octacahedra (like dice but with 8 faces rather than 6) are rolled. What is the probability of…

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Q: If we roll three six-sixed dice, what's the probability that all three show even numbers?

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Q: A pair of dice is rolled. What is the probability of getting a sum less than 7?

A: When a pair of dice are rolled then there are (6x6)=36 cases, because each die has 6 outcomes.  If…

Q: A jar has 6 orange marbles and 10 red marbles. What is the probability of drawing two orange marbles…

A: We have given that  A jar has 6 orange marbles and 10 red marbles. Total number of marbles = 16

Q: A pair of dice is rolled. What is the probability of getting a sum of 6? What is the probablity of…

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Q: If a nickel is flipped 6 times, what is the probability of getting 3 Tails, given that the nickel…

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Q: Two fair six-sided dice are thrown. What is the probability that they total a number less than 5 or…

A: Solution

Q: Three unbiased dice are rolled. What is the probability that they all show different faces?

A: It is given that three unbiased dice are rolled. It is known that every dice has 6 faces. The main…

Q: Two six sided dice are rolled and their product is taken. How many events are in the subset of even…

A: Population is the whole set of observation which used for study. Sample is the subet of population.…

Q: Two six sided dice are rolled at once. What is the probability of rolling a sum of 9

A: Note that the favorable cases to get a sum of 9 are 3,6,6,3,4,5,5,4. Consider the following events,…

Q: Two six-sided dice are rolled. What is the probability of rolling a total of 9?

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Q: three cards are drawn from an ordinary deck without replacement. find the probability of getting all…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: Two 6 sided fair dice are thrown. What is the probability of getting two numbers whose product is…

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Q: 7. A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from…

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Q: If a pair of dice is tossed 6 times, what is the probability of obtaining of 7 or 11 twice, a…

A: Here, a pair of dice is tossed 6 times. The total number of possible outcomes is 36. The total of 7…

Q: An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of…

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Q: What is the probability of winning a lottery game where the winning number is made up of three…

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Q: Suppose that a single dice with 21 sides (numbered 1,2,3,...,21)is rolled once. What is the…

A: Given information: A single dice with 21 sides is rolled once. The N = 21 sides are representing the…

Q: 6. A pair of fair dice is rolled. What is the probability of getting two different numbers on the…

A: Obtain the probability of getting two different numbers on two dice. The probability of getting two…

Q: A pair of dice is thrown nine times, what is the probability of getting a) Sum between 4 and 7? b)…

A: Given information: A pair of dice is thrown times. Need to find the following probabilities: a. Sum…

Q: 2. If two fair dice are rolled, what is the probability of getting a sum greater than 11 or a sum…

A: If two fair dice are rolled, we need to find the probability of getting a sum greater than 11 or a…

Q: A fair coin is tossed and a balanced die is rolled simultaneously. What is the probability of…

A: Answer: Using the given data,

Q: A 4-sided fair die and a 12-sided fair die are rolled. What is the probability of showing a 3 on…

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Q: What is the probability of getting a total of 9 (a) twice and (b) at least twice in 6 tosses of a…

A: Here use binomial distribution  Each trial is independent  Finite number of trial (n=6) Probability…

Q: Three six-sided dice are rolled. What is the probability that the sum on the dice faces equals 4?

A: We know that, if we roll a die, we may get {1,2,3,4,5,6} as possible values. So, if we roll 3…

Q: What is the probability of getting either a three or a four on at least one the two dice?

A: From the provided information, Total outcomes = 36

Q: 19 octahedra (like dice, but having 8 faces rather than 6) are rolled. What is the probability of…

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Q: If two balanced dice are rolled, what is the probability that the difference between the two numbers…

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Q: 1. There are four letters and four addressed envelopes. Find the chance that all letters are not…

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Q: Three dice are rolled together. What is the probability of getting at least one 4?

A: when Three dice are rolled together total outcome will be 216

Q: A fair dice is rolled four times.  What is the probability of obtaining a 3,2,3 and 3 in that order?

A: For any event A and the sample space S, the probability can be found as,

Q: Two fair dice are rolled, what is the probability of getting a sum of 9?

A: The events whose sum can be 9. Pair: (5,4) (4,5) (3,6) (6,3)

Q: An experiment consists of dealing 5 cards from a standard deck of cards. What is the probability…

A: It is known that Number of cards in a deck = 52 Number of diamonds = 13 Number of non-diamonds = 52…

Q: A pair of standard dice are rolled. What is the probability that at least one die is a 5, given that…

A: From the given information, the number of outcomes for getting at least one dies is 5 and sum of the…

Q: A pair of dice is rolled. What is the probability of getting a sum less than 10​?

A: Solution:Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes…