our coins are thrown 32 times. Determine the probability that three Tails will be rolled in 9 cases.

Q: Four coins are thrown 32 times. Determine the probability that three Tails will be rolled in 9 c

A: Given that, Four coins are thrown 32 times. Determine the probability that three Tails will be…

Q: A fair coin is flipped 6 times. Find the probability that heads was flipped exactly 4 times

A: The probability of the heads is calculated by the binomial distribution probability mass function.…

Q: Two dice are rolled four times. Calculate the probability of doubles four times in a row?

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Q: A 4 member committee is formed from 8 teachers and 6 students. Find the probability that the…

A: Given,no.of teachers=8no.of students=6Total no.of members=14 and Cr=n!(n-r)!×r!n

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

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Q: A coin is tossed 3 times. What is t

A: From the given information, A coin is tossed 3 times. Total outcomes is 2^3=8 (HHH, TTT, THH, HTH,…

Q: If a coin is tossed 6 times. Calculate the probability of obtaining more tails than heads.

A: Given data: The number of times a coin is tossed n=6. The probability of getting the tail is, p=12…

Q: A coin is tossed 6 times. Find the probability that at least three are tails.

A: Introduction:Since nothing is mentioned, we can assume that the coin is fair, so that the…

Q: A true-false quiz has 7 questions. A student makes random guesses on each question. What is the…

A: Given Information: A true-false quiz has 7 questions. A student makes random guesses on each…

Q: A die is rolled five times. A 4 is considered “success" ,while all other outcomes are "failures”…

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Q: Find the probability getting exactly 11 heads in twenty tosses of a coin.

A: The probability of getting a head in tossing a coin is 0.5. p=0.5 Given  n=20 x=11

Q: An urn contains 4 white and 3 red balls. Find the probability distribution of red balls in a random…

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Q: An urn has 5 red balls, 5 blue balls, 4 green balls, and 3 yellow balls. What is probability of…

A: It is given that Number of red balls = 5 Number of blue balls = 5 Number of green balls = 4 Number…

Q: Find the probability of getting 8 heads in a row in 8 tosses of a fair coin.

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Q: A coin is tossed five times. What is the probability of getting 3 tails in these five tosses? Enter…

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Q: ability of getting "six" at

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Q: A student rolls a die 15 times. What is the probability of getting three 6? First calculate the…

A: If we throw a die once, we get sample space as S={1,2,3,4,5,6}. So, the probability of getting 6…

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: Five coins are thrown 40 times. Determine the probability that one Tail will be rolled in 8 cases.

A: Here 5 coins are thrown 40 times  Here first use binomial theorem and then again binomial for…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Two marbles are drawn with replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble.…

A: Given,Number of white marbles, n(W) = 3Number of green marbles, n(G) = 2Number of red marbles, n(R)…

Q: A coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: A coin is flipped 3 times. Determine the probability that one tail will result from the three…

A: We have to use Binomial distribution. Binomial distribution : If random variable x follows Binomial…

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

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Q: Suppose one card is drawn randomly from a deck of 52 cards. What is the probability of getting a…

A: Answer: From the given data, Total number of cards in a deck = 52 If one card is drawn randomly,

Q: A 12 sided die is rolled. Find the probability of rolling a number less than 3

A: When a 12-sided die is rolled, the sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. In the…

Q: If we toss four coins, what is the probability that we get the same number of heads as tails?

A: From the provided information, There will be 16 different possibilities when 4 coins are tossed:…

Q: A die is thrown ten times. What is the probability that the sum of the scores is 27?

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Q: A die is thrown twice. What is the probability of getting the sum 7?

A: Total possible outcomes when A die is thrown twice = 36

Q: Two dice are thrown 48 times. Determine the probability that 10 points are rolled more than 2

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Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: coin is tossed 6 times. Find the probability of getting at least 1 tail.

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Q: A single die is rolled eight times. Find the probability that 5 appears at most three times.

A: It is given that a single die rolled 8 times. That is probability of getting a 5 on each trial is…

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

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Q: A lock consists of 2 dials, where each dial has 3 letters. What is the probability of guessing the…

A: Given: A lock consists of 2 dials, where each dial has 3 letters. The probability value is estimated…

Q: Suppose you toss a coin 100 times and get 61 heads and 39 tails. Based on these results, what is the…

A: Given that, When we tossed a coin 100 times, we got 69 heads and 31 tails.