If an unbiased coin is tossed 3000 times, what is the probability that heads uwill appear more than 140 times and less than 160 times.

Q: A sixth grade class has 30 students. 15 of those students play baseball, 18 play basketball, and 10…

A: As per the rules of probability, PA∪B=PA+PB-PA∩B, where PA∪B denotes either A or B or both. PA ∩B…

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

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Q: Suppose the average number of zebra seen on a 2-day safari is 5. What is the probability that…

A: Given that the average number of zebra seen on a 2-day safari is 5. So, the average number of zebra…

Q: a fair coin is flipped 8 times, what is the probability of getting at least 1 head?

A: Obtain the probability of getting at least one head. The probability of getting at least one head is…

Q: If two balanced dice are rolled, what is the probability that the sum of  two numbers that appear…

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Q: When a single die is rolled, what is the probability of getting a number less than 6.

A: If a single die is rolling then sample space (s) is,  s = { 1, 2, 3, 4, 5, 6 } = 6 outcomes Then,…

Q: What is the probability that when a coin is tossed 5 times it lands 3 times heads?

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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: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of 8?

A: Solution-: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of…

Q: A fair, six-sided die is rolled 5 times. What is the probability of rolling a 3 on just one of the…

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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: According to the American Veterinary Medical Association, 31.6% of American households own a dog.…

A: Let A denote that American households own a dog Let  denote that American households does not own a…

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

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Q: suppose we select one card from a standard deck of 52. what is the probability of selecting a club?

A: given data select one card from a standard deck of 52 cards. p(selecting club) = ?

Q: A biased coin, when tossed 7 times, has the same probability of obtaining 2 heads out of 7 as it…

A: Let us suppose that the probability of head = p Define the Random Variable, X : Number of heads in 7…

Q: The probability that a house in an urban area will be burglarized is 3%. If 22 houses are randomly…

A: Answer: Given that: p= 0.03 , n= 22 now will use Binomial probability…

Q: A coin is biased in such a way that a head is twice as likely to occur compared to a tail. What is…

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Q: Assuming that one in 80 births is a case of twins, calculate the probability of 2 or more sets of…

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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 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive…

A: Define the event, A : no box will receive more than one ball If 12 balls are thrown into 20 boxes…

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: what is the probability of getting one or more tails one flipping two coins?

A: Solution: Suppose a coin is tossed two times.

Q: If I have 8 cars and 11 trucks to select from to be tested for a safety inspection, what is the…

A: We have, n1= 8 = the number of cars n2 = 11 = the number of trucks N= 19 = total number of vehicles…

Q: If a fair coin is tossed 9 times, what is the probability, rounded to the nearest thousandth, of…

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Q: A meteorologist found from the past year’s records that it rained 17% of the days. Based on this…

A: Let X= number of days rained  Number of observation= 15  probability of X= p = 0.17  So, X follows a…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 13 Canadians. What is…

A: No.of Americans = 19  No.of Canadians  = 13 Total no.of persons = 32 (i.e. 13+19) Consider that…

Q: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

A: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

Q: What is the probability that the sum of the numbers on four dice rolled is even?

A: Two or more dice rolled are considered as independent probabilities. Possibilities of two dice…

Q: A fair die and a fair coin are flipped and tossed. What is the probability getting a number greater…

A: Probability is obtained by dividing the total number of favorable cases of an event by the total…

Q: when a single die is rolled, what is the probability of gitting a number less than 7?

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Q: A coin is flipped 4 times. What is the probability of getting at least 1 tail

A: Coin is flipped 4 times ∴ Number of total outcomes, S = 24 = 16

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: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Given,n=20p=0.2q=1-p=1-0.2=0.8X=no.of girls come from remote area X~Binomial (n=20 ,…

Q: If two coins are tossed,what is the probability obtaining at most one head?

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Q: If a fair coin is tossed 5 times, what is the probability, rounded to the nearest thousandth, of…

A: Solution

Q: What is the probability that in a race between 10 friends, Billy is first and Michael is last?

A: Here use basic probability

Q: An unbiased fair coin was tossed 15 times. What is the probability of getting exactly 8 heads?

A: We have given the following statement coin tossed 15 times.  We have to find probability of getting…

Q: that the event will fa

A: We know that the, if probability of occurrence of an event is m/n then odd against the event, is…

Q: A six-sided die is rolled 5 times, what is the probability of rolling 4 less than 3

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Q: What is the probability that a fair coin lands Heads 4 times out of 6 flips?

A: The probability if getting a head = 0.5   The probability of getting head 4 out of 6 times is given…

Q: Assume that the coin is weighted so that a tail is 7 times as likely as a head. The coin is flipped…

A: Given Information: A coin is weighted so that a tail is 7 times as likely as a head.  The coin is…

Q: If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of getting…

A: We have to find given probability....

Q: It is known the 60% of toddlers have too much screen time. A randome sample of 8 toddlers were…

A: Here, too much screen time follows binomial distribution with n = 8 and p = 0.60.

Q: what is the probability of the sun will rise in west is ?

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Q: If one card is drawn from a standard deck of 52 cards what is the probability of getting a face card…

A: Given data: Standard deck of 52 cards

Q: What is the probability that the second head is observed on the 5th independent flip of a coin?

A: