A right triangle has sides of lengths 3, 4, and 5. What is the probability of the randomly chosen point in the triangle has less distance than to at least one of it's corners?

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: A monkey is given 12 blocks: 3 shaped like squares, 3 like rectangles, 3 like triangles, and 3 like…

A: Total blocks = 12  Square = 3  Rectangle = 3  Triangle = 3  Circles= 3  Order matters  If it draws…

Q: If each characteristic is equally likely, find the pobability that the pea plant will have round…

A:

Q: Suppose you roll two fair dice, one that is red and other is blue. Each die can have numbers from 1…

A: The total number of possible outcomes for rolling two fair dice is 36. The possible outcomes for…

Q: We have a rod of length l which. We break it at 1 random point to get 2 pieces. We again break the…

A: GIVEN DATA : A rod of length l which break it at 1 random point to get 2 pieces.…

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: Samir has a big bag of wooden blocks in assorted shapes. He randomly picks a block from the bag,…

A: Step 1:Step 2: Step 3: Step 4:

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: In a tennis match, on a given point, the player who is serving has two chances to hit the ball in…

A: Let A be the event that there is fault in first serveTherefore, probability of fault in first serve…

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: You randomly shoot a dart onto a 2ft x 3ft size rectangular board. Assume that you never shoot…

A: Geometric Probability: Geometric probability is a method to deal with the problem of infinite…

Q: For the target shown below, the radius of the outer circle is 120 cm, the radius of the inner circle…

A: Step 1: The probability of the dart hitting any part of the shaded regions = Shaded area / Total…

Q: A string of length 10 cm is cut at a randomly chosen point. Find the probability that the length of…

A: Total length of the string is 10 cm. Let X be the length of longer side be a random variable which…

Q: The college basketball team at West Texas State University has 24 players; 10 are seniors, 6 are…

A: We have given, The college basketball team at West Texas State University has 24 players; 10 are…

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: Refer to the figure below in which surge protectors p and q are used to protect an expensive…

A: * SOLUTION :-  Given that ,  The p and q are two surge protectors  The probability of working each…

Q: Suppose that a family has 7 children.​ Also, suppose that the probability of having a girl is 1/2.…

A: From the given information,Number of children, n=7And probability of girl, P=1/2=0.5.Here, we can…

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: 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,