A fair coin is flipped six times and the number of heads is counted. Calculate the probability that the coin will land heads fewer than 4 times.

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

Q: f obtaining more tails than head

A: Since the number of outcomes with the 4H and 4T is C(8,4)=70, there is an equal possibility for the…

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: 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: A coin is tossed 10 times. Find the probability of tossing five or six heads.

A: Given that a coin is tossed 10 times. Note that probability for getting one head in one toss p is…

Q: ability of getting "six" at

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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: probability of getting 5 heads.

A: A coin is tossed 9 times.

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: What is the probability of correctly predicting the first four runners to complete the race, in the…

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Q: the probability of getting “3”  more than once.

A: Let X be the random variable such that the number of events getting “3”  on die.N: Total number of…

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: Two cards are selected from a standard deck with replacement. Find the probability that they are…

A: Given that Total cards=52 Number of hearts cards=13 p=Number of hearts cards/Total cards…

Q: In a box there are 4 red, 4 blue and 3 white marbles. Two marbles are selected at random and the…

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Q: Flip a fair coin 180 times. Estimate the probability of obtaining more than 120 heads.

A: From the provided information, Sample size (n) = 180 and The probability of getting a head = 1/2 =…

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 single six-sided die is rolled. Find the probability of rolling a number less than 3.

A: The objective of this question is to find the probability of rolling a number less than 3 on a…

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: 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 die is being thrown twice. Find the probability of getting 5 and 1 in each respective throw

A: if we throw a die twice than the total possible out comes is 36and the no.of possible out comes of…

Q: A bag contains 6 white and 4 black balls . two balls are drawn at random . Find the probability that…

A: Given: White balls = 6 Black balls = 4

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

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Q: A die is rolled 10 times. Find the probability of rolling no more than 4 fives.

A: Given: A die is rolled 10 times. Objective of this question is to find the probability of rolling no…

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: Determine the probability that 31​, 32​, 33​, 34​, or 35 flights will arrive on time

A: We have given that Sample size, n = 39 Probability of success, p = 0.819

Q: fair coin is flipped 5 times. Find the probability of flipping exactly 4 head

A: Given that  A fair coin is flipped 5 times. (n) = 5  The result may be heads or tails.   We know…