1. A regular hexagon is inscribed in a circle. 1) What is the probability that a randomly chosen point in the circle does not belong to the pentagon? 2) If we choose 300 random points inside this circle, find the probability that at least 50 points do not belong to the pentagon.

Q: The figure shows a composite figure formed by two right triangles, a square, and a circle. Determine…

A:

Q: Suppose we have a box that has 30 balls numbered 1 to 30. You draw three balls at random without…

A: Given, A bag have box that has 30 balls numbered 1 to 30. We draw 3 balls at random without…

Q: Each of two identical spinners has five equal sectors that are numbered 1 to 8. If you spin both…

A: Given, two identical spinners have eight equal sectors that are numbered 1 to 8. Let (a, b):a…

Q: Out of the numbers 1 to 120, one number is selected at random. What is the probability that it is…

A: Here use basic probability

Q: One circular spinner is marked into four regions. Region A has an angle of 100° at the center of the…

A: a) A circle has a total of 360 degrees, so the probability of region A will be = 100/360 = 0.278,…

Q: what is the probablity of rolling one six-sided die and obtaining a 5 or a 6

A: To calculate the probability that either 5 or 6 turns up when a 6 sided die is rolled

Q: Suppose that a standard die is rolled. Draw a Venn diagram and use it to calculate the given…

A: Given, Suppose that a standard die is rolled.  A number greater than 2 or an odd number. Let the A…

Q: Suppose that a box contains three equally sized balls numbered as 1,2 and 3. If two balls are drawn…

A: Given,  3 equally sized balls numbered as 1, 2 and 3.

Q: Find the probability that a single toss of a balanced die results in a number less than 4 if, (a)…

A:

Q: In a certain instant lottery game the chances of a win are stated as ​"3 in 23​." Express the…

A: Given that, in a certain instant game the chances of a win are stated as "3 in 23". That is, x=3 and…

Q: A spinner is broken into sections labeled 1 to 29.  What is the probability that, on your next spin,…

A: A spinner is broken into sections labeled 1 to 29. The number less than 7 are 1, 2, 3, 4, 5, 6.

Q: Two fair tetrahedrons (4 sided), each with equal sides numbered from 1 to 4, are identical except…

A: For each tetrahedron, we can get 4 outcomes. So when 2 distinct tetrahedrons are tossed then the…

Q: A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. Amarble is drawn…

A: There is a total of 10 blue marbles.  And the marbles which are not blue but they are even-numbered,…

Q: Assume the spinner has 5 unequal sectors 1/6 yellow, 2/9 blue, 5/18 white, 1/9 red, and 2/9 green as…

A: Given data :  the spinner has 5 unequal sectors with probabilities of 1/6 yellow, 2/9 blue, 5/18…

Q: Suppose an urn contain 8 balls  find the number of ordered sample's of size 3 without replacement.…

A:

Q: Suppose that two dice are rolled such that : A: what is the pr. that a sum of (7) or (11) turns up?

A: This question is related to probability problem of dice.

Q: Find the Probability of randomly choosing a point in region C. 6 in. 6 in. 9 In. 6 in. 12 in.

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Q: To generate a Par(4) random number, u=0.6 is generated first. This will be mapped to what Par(4)…

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Q: A six-sided die with A, B, C, D, E and F written on it is rolled once. Determine the probability…

A: In A, B, C, D, E, and F, the consonants are B, C, D, F. So there are 4 consonants in the 6 letters.…

Q: A tetrahedral dice has four faces, numbered 1- 4. If the die is weighted in such a way that each of…

A: Let p be the probability of getting number 4. Given that  P(X = 2) = P(X = 3) = 2p And P(X = 1) = 3p…

Q: The probability that all of the 14 selected people have brown eyes is ?

A: This is the case of binomial distribution because it follows all the conditions of binomial. The…

Q: ght triangle has sides of lengths 3, 4, and 5. What is the probability of the randomly chosen point…

A:

Q: In a​ region, there is a 0.95 probability chance that a randomly selected person of the population…

A: (a) Obtain the probability that all of the 14 selected people have brown eyes. The probability that…

Q: 2. What is the probability that a point chosen inside the rectangle is in the shaded region? 5 in. 3…

A: We have to find the probability.

Q: What is the probability that the arrow will land in a spinner is divided into 10 congruent sections.…

A: Given: The sample space for the wheel is  S= {2,5,3,8,1,4,2,6,9,1} n(s)=10

Q: 2.7 From past experience, it is known that, on the average, 10% of welds performed by a particular…

A: Given that n = 3,p=0.10

Q: Question: How many different groups of seven balls can be drawn from a barrel containing balls…

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Q: right triangle has sides of lengths 6, 8, and 10. What is the probability of the randomly chosen…

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Q: umbers from 1 through FFFF have at least one repeated digit? 2. What is the probability tha

A: From given: The hexadecimal has 16 digits.

Q: Fifty raffle tickets are numbered 1 through 50, and one of them is drawn at random. What is the…

A: Given data:   The given numbers of the tickets are n(S)=50.   The expression for the number of…

Q: The circle below has been divided into eight congruent sectors. Find the probability that a dart…

A: This circle divide into eight congruent sectors.  3 shaded party  and 5 unshaded part.  Probability…

Q: What is the maximum number of people in a gathering such that the probability of two people having…

A: Given, The probability of two people having the same birthday doesn’t exceed 60%.

Q: ) If 4 distinct balls are placed at random into 4 boxes, find the probability that exactly one box…

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Q: If an odd number is chosen at random from 2 to 20, then the probability of getting a prime number is…

A: a). The odd numbers between 2 and 20 are, S= {3, 5, 7, 9, 11, 13, 15, 17, 19}. The prime numbers in…

Q: A die and an equal n-segment colour spinner (with n-different colours) are spun simultaneously. The…

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Q: A die is rolled three times. What is the chance that--- not all the rolls show 2 or more spots?

A: Here use binomial distribution because  Each trial is independent  Finite number of trial  There…

Q: A box contains 15 resistors. Ten of them arc labeled 50 2 and the other fivc arc labeled 100 Ω. What…

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Q: Given that a biased dice, where each of number 1jand number 3 appears half times as often as any…

A: Given problem Given that We need to find the probability that an even number appears when we roll…

Q: Suppose there are 56 red balls and 103 yellow balls in a box. Two balls are drawn from the box…

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Q: 4. The probability a red marble selected at random from a jar containing p red, q blue and r green…

A: We have given that  A jar containing p red marbles, q blue marbles and r green marbles

Q: Suppose a coin with Pr[H] = 2/3 is flipped 3 times. Using a tree, find the probability that heads…

A: Given: Pr[H]=23. Tree representing 2 heads in three  flips are shown below:

Q: 1. A point is chowen at random inside a circle if radius 2. What is the probability that the point…

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Q: A 12 sided die with sided numbered 1 through 12 is rolled. Assuming that all sides are equally…

A: A 12 sided die with sides numbered 1 through 12 is rolled. All sides are equally likely to be…

Q: Suppose there are eight red balls and eight yellow balls in a box. Two balls are drawn from the box…

A: There are total (8+8)=16 balls in the box.  We can pick the first ball in 16 ways and the second…

Q: A die is weighted so that even numbers have same chänce of appearing, the odd numbers have the same…

A: ANSWER: From the given data,

Q: Suppose there are four red balls and three yellow balls in a box. Two balls are drawn from the box…

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Q: dodecahedra (like dice but with 12 faces rather than 6) are rolled. What is the probability of…

A: