·An unbiased die is thrown 8 times. What is the probability of getting a six in at least one of the throws?

Q: What is the probability of drawing a red or blue marble out of a bowl with 10 red, 6 blue, 9 green?

A: Given that,no.of red marbles=10no.of blue marbles=6no.of green marbles=9Total no.of marbles=25

Q: A fair die is rolled 12 times. What is the probability of rolling a 4 on the die 4 times?

A: A binomial probability distribution has following properties. There are only 2 possible outcomes of…

Q: What is the probability of rolling a one or a six when rolling one die?

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Q: A die is rolled 8 times. What is the probability of getting at least one 5?

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Q: A committee executive board is to be selected at random from a group of 10 people; 5 women and 5…

A: Given: Number of women = 5 Number of men = 5 Total people = 10

Q: Consider a fair What is the probability of a six given that you already observed a six in the roll…

A: The probability of obtaining a six on a fair die is 1/6  as obtaining any number of a die is equally…

Q: Dan tosses a fair pyramid die that has four sides 7 times. What is the probability he rolls all…

A: Person D tosses a fair pyramid die that has four sides, 7 times.

Q: fair die is rolled 5 times    16. What is the probability of obtaining a 2 at least once?

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Q: The probability of a product which is defective is 0.48. Out of 10 products, what is the probability…

A: We have to find given probability.

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: A 6-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the…

A: Given Information A six sided die is rolled Sample space {1, 2, 3, 4, 5, 6} probability of rolling a…

Q: A fair die is thrown 6 times. Find the probability of rolling a ​"two​" on exactly 4 of the 6…

A: Explained below

Q: die is rolled three times. What is the chance that at least one roll shows 1 spot?

A: Given, experiment:-if die rolled three times. then number of elements in sample space(S)=63=216

Q: A die was rolled 16 times, what is the probability of rolling a number greater than 4 seven times.

A: Given that  n=16 , p=2/6=1/3  X~Binomial(n=16,p=1/3) X=Number of time the number greater than 4…

Q: A coin is tossed 3 times. What is the probability of getting 3 tails up?

A: Given : Experiment : Tossing coin 3 times

Q: Suppose that two fair dice are rolled. find the probability that the number on the first dice is a 4…

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Q: If you roll three six-sided dice, find the probability that at least one of the dice has a three…

A: If three dice are rolled, then number of possible outcomes of sample space is 6×6×6=216,  Sample…

Q: A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.

A: Probability is the chance of occurrence of an event. A fair coin is tossed 5 times. For each toss,…

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: What is the probability of rolling at least a 8 with a single toss of two dice?

A: Each die has 6 possible outcomes.  So, for 2 dice there are 62=36 outcomes.

Q: What is the probability of picking three spade face cards or two red cards?

A: Here we have to find probability of picking three spade face cards or two red cards

Q: A standard die is rolled. What is the probability of rolling a number less than 2?

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Q: A box contains 19 balls of each color (i.e., green, red, and blue). If 5 balls are to be drawn…

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Q: A die is rolled 8 times. What is the probability of getting at least one 5?

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Q: - A die is thrown 3 times. If getting a 6 is nsidered as success find the probability o

A: Single Die has 6 outcomes: {1, 2, 3, 4, 5, 6}. P(success)=P(getting 6)=1/6. A die is thrown 3 times.…

Q: What is the probability of getting at least 4 in one roll of a die?

A: Sample space for rolling a die is S = {1, 2,3,4,5,6}

Q: What is the probability of getting exactly one head when a fair coin is tossed for 3  times?

A: GivenA coin is tossed 3 timesn=3p=12=0.5        ( head occurs once in 2 chances i.e., head or…

Q: In a study done in my chicken coop, 82% of my birds enjoy eating earwigs. Choose 7 birds at…

A: Let X denote the number birds enjoy eating earwigs. Then X follows a Binomial distribution with n=7…

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

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Q: What is the probability that 100 tosses of a fair coin will result in 50 heads and 50 tails?

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Q: Roll a fair die 10 times. What is the probability to get “six” twice? And, What is the probability…

A: The required solution is as follows. (i) In any throw of a die, the probability of getting 1 is 1/6.…

Q: What is the probability of getting 6 or more girls in 8 births

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Q: A die is rolled twice. What is the probability of getting 3 or 5?

A: From the given information, a dice rolled twice.   The total sample space is,

Q: standard deck with 50 cards — 25 red and 25 black — is shuffled. The probability that the top card…

A: 50 cards in a deck are shuffled. Among those 50 cards 25 are red and 25 are black. Total number of…

Q: Suppose you roll a die 6 times. What is the probability of getting at least one even number

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