We have a rod of length l which. We break it at 1 random point to get 2 pieces. We again break the piece of the rod to the left at a random point. What is the probability that these points form a valid (non-zero area, planar) triangle?

Q: A single die is rolled twice. In reduced fraction form, Find the probability of getting a number…

A: A single die is rolled twice. It is needed to find the probability of getting a number less than or…

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

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Q: (a) P( sum of 3 and one 2) (b) P( sum of 10) (c) P( sum of 3 or exactly one 4) (d) P( two 3 s and…

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Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Three points are chosen at random on a circle of unit circumference. What is the probability that…

A: Step 1: Choosing the First PointLet's arbitrarily choose the first point as 0 on the circle.Step 2:…

Q: If you throw a dart at a dartboard in the shape of a regular hexagon of side length 2 feet, what is…

A: From the given information, a dart at a dartboard in the shape of a regular hexagon of side length…

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 right triangle has sides of lengths 3, 4, and 5. What is the probability of the randomly chosen…

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Q: If two fair dice are rolled, find the probability that the result is either sum of 8 or sum is…

A: If two dice are rolled then the sample space obtained is as follows: Ω={1,1,1,2,1,3,1,4,1,5,1,6,…

Q: If two points are randomly chosen on the sides of the unit square, find the probability that the two…

A: Let's just take a random point on any 1 side of the square. Let this side be side a. Given that the…

Q: A die will be rolled 5 times. Find the chance of getting exactly one four

A: Given  A die is rolled 5 times n=5  p=1/6  p=Probability of 4 X=Number of 4 X~Binomial(n=5,p=1/6)

Q: What is the probability that you get at least one 3 to show from 100 roll

A: You are to roll a die 100 times. The rolls are independent of each other. A die has sides…

Q: Find the probability that one of the dice shows 6 dots given that the sum of the dots is 8?

A: Introduction: The set of all possible outcomes of a probability experiment is called sample space of…

Q: A pair of die is rolled and the sum of the numbers is noted. Find the probability that one die…

A: Conditional rule:The formula for probability of A given B is,