What is the probability that fair die was chosen given that six appeared?

Q: what is the probability that 4 randomly selected people all have different birthdays? round to four…

A: Independent events:If the events A and B are said to be independent, then P (A and B) = P (A) × P…

Q: What is the THEORETICAL probability that a sum GREATER than 9 would be rolled. (from a die of 12

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Q: What is the total probability of rolling a natural on the come-out roll in craps?

A: . In the game of craps, on your first roll (called the come out roll), three outcomes are possible:…

Q: What is the probability that a 6 is ohtained on one of the dice in a throw of tWO dice, given that…

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Q: What is the probability that 6 rolls of a fair die will show 4 exactly 2 times

A: Let us consider success as the die showing up 4. Then, p=p(Success)=16. Let X be the number of times…

Q: What is the probability a certain tire of this brand will last less than 53,400 miles? What is the…

A: Given Mean=60000 Standard deviations=1700

Q: What is the probability that atleast one die shows the number 1?

A: Each die has 4 sides. And the numbers on them are 1, 2, 3, 4. So we can not get 1 for 3 ways. {2, 3,…

Q: What is probability of rolling atleast 3 head in tossing 10 fair coin.

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Q: Compute the probability of randomly drawing five cards from a deck and getting exactly one Queen?…

A: There are 52 cards in a standard deck of cards.  We can draw any 5 cards in 52C5=2598960 ways…

Q: What is the probability that using a fair die that you roll a 6?

A: From the provided information, A fair die is rolled. Sample space {1, 2, 3, 4, 5, 6} Total possible…

Q: What is the probability that if 11 letters are typed no letters are repeated?

A: From the provided information, 11 letters are typed. Total letters in alphabet (English) = 26

Q: What is the probability of getting three sixes in five tosses of a die?

A: Let us denote X=the number of sixes n=sample size=5 p=probability of success in each toss=16…

Q: Consider a deck of cards. What is the probability that we observe a red even number card for the…

A: Combination: Combination is nothing but the number of ways to choose r distinct objects from…

Q: If a fair coin is tossed 8 times, what is the probability, to the nearest thousandth, of getting…

A: here given,  here fair coin tossed 8 times  p = probability of head  = 0.5

Q: What is the probability that fewer than 3 will arrive in the clinic as walk-in customers?

A: Probability=0.25

Q: What is the probability that eight individuals have conditions caused by natural occurrences?

A: Let , X be the number of individuals have conditions caused by natural occurrances Here , X→B(n=10 ,…

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: What is the probability of positive integers less than or equal 120 that divisible by either 4 or 9?

A: Number of positive integers less than or equal to 120 that are divisible by 4 or 9, means that are…

Q: What is the probability that a randomly selected bow tie is made of silk or is not shaped like a…

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Q: What is the probability of not rolling a 1 with a fair die ?

A: total number of outcomes=n=6 sample space=(1,2,3,4,5,6) If a die is fair then the probabality of…

Q: Thirteen cards are dealt onto the table from a standard deck of playing cards. What is the…

A: The standard deck of cards contains a total of 52 cards, in which, 26 cards are red and 26 cards are…

Q: A fair 10-sided die is tossed. What is the probability that any number except 3 or 8 is tossed?

A: Given that  A fair 10 sided die is tossed  Total possible outcomes=10 Sample…

Q: If a fair die is rolled 6 times, what is the probability, rounded to the nearest thousandth, of…

A: The number of outcomes when rolling a die is 6.

Q: What is the probability of drawing 2 cards in succession (without replacement) from a standard deck…

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Q: If you roll a fair 8-sided die 11 times, what is the probability that a 1 is rolled at least once?

A: Total number of outcomes for rolling 8 side die 11 times = 811 To determine the probability that 1…

Q: what is the probability that at least one of the pair of fair dice lands on 5, given that the sum of…

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

Q: Select one card from a deck of well-shuffled cards. What is the probability that we draw an Even…

A: A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2,…

Q: What is the probability of getting at least one 6 on three rolls of a die?

A: It is an important part of statistics. It is widely used.

Q: 2. A professor posts the grades for a class using the last four digits of the Social Security number…

A: Here Given Professor posts the grades for class using the last 4 digits of social security Number of…

Q: Let a symmetrical coin be tosded 5 times, what is the probability that there are more heads than…

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Q: What is the probability that 12 attempted starts are made during the acceptance process?

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Q: consider 10 tosses of a fair coin. What is the probability that the FIRST TWO are heads?

A: Given problem uses  the binomial distribution. Let ,  X  :  number of heads in 10 tosses. The…

Q: What is the probability of randomly selecting a diamond from a standard 52-card deck

A: We have to find probability of selecting a diamond card ...

Q: Suppose you draw five cards (without replacement) from a standard deck of 52 playing cards. What…

A: The total cards in a standard deck = 52 Total ace = 4

Q: If a die is rolled, (a) what is the probability of obtaining an even number or a number greater than…

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Q: (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the…

A: Number of individuals who are 45 to 54 years old and are more likely to buy a product emphasized as…

Q: Suppose that a roulette wheel is spun. What is the probability that a number between 7 and 30…

A: Given information : Suppose that a roulette wheel is spun. We have to find that, What is the…

Q: What is the probability that at least 2 out of 30 received special accommodation?

A: Let p be the probability that a student will need special accommodation. Given that p = 0.015 Let X…

Q: What is the probability that the person selected is a female?

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Q: What is the probability of rolling, on a fair dice a number lying between 0 and 7?

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Q: What is the probability that a 6 is obtained on one of the dice in a throw of two dice, given that…

A: From the provided information, Two dice are thrown. Total outcomes = 36

Q: What is the probability that between 10:00 and 10:30 the switchboard will receive more than 9 calls…

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Q: 2. What is the probability a randomly selected employee does not earn retirement benefits? answer:

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: Find the probability of a 4 turning up at least once in two tosses of a fair die.

A: The probability outcomes of two tosses of a fair die is 1st toss  = 1, 2, 3, 4, 5, 6 2nd toss = 1,…

Q: 6. What is the probability of rolling a number greater than four on a standard 6- sided die?

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Q: What is the probability that a randomly selected competitor reacted in 0.3 to 0.7 seconds or was not…

A: Since , the table given below ,   Less than 0.3 seconds 0.3 to 0.7 seconds Total Male 14 7 21…

Q: Find the probability of getting a total of 7 at least once in three tosses of a pair of fair dice.

A: Solution Tossing a pair of fair dice is an independent trial Total combination of getting 7=…

Q: What is probability that a randomly chosen seven-digit telephone number would have at least one…

A: Calculate the total telephone numbers with seven digits. X=107 Calculate the total telephone numbers…

Q: 2. Find the probability of rolling a 4 on a fair die given that it will land even?

A: If a die is rolled the possible outcomes are S=1,2,3,4,5,6Let ∈ be the event of getting even…