4. A person is known to hit the target in 3 out of 4 shots, whereas anotherperson is known to hit the target in 2 out of 3 shots. Find the probability of the target beinghit at all when they both try.

First person hits the target 3 out of 4 shots Probability of first person hitting the shot ,…

Answered: 4. A person is known to hit the target…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Wyatt buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 8 sugar cookies and 6 oatmeal cookies. What is the probability that Wyatt reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
On average, 25 balls enters the room every minute. What is the probability that the 6th ball takes up to 9 seconds to arrive and that at most 3 balls arrive between the 250th and 259th second?
At a local high school, 15% of the students have blue eyes. Each day, 9% of the blue-eyed students wear sunglasses on their way to school, while only 2% of the students with non-blue eyes wear sunglasses. Find the probability that a randomly selected student has blue eyes given that they wore sunglasses on their way to school.
If the probability of hitting a goal ball player is 0.4, then if this player wants to hit the goal seven times until he stops, what is the probability that he achieves that from 10 shots?
Kelly realized that 4% of his students' exams have academic integrity issues. He plans to go through the exams at random to find one with academic integrity issues. Let X be the number of exams Kelly selects until he finds one with academic integrity issues. a) Find the probability that the 18 th exam Kelly selects will be the first with academic integrity issues. State your answer as a percentage rounded your answer to 2 decimal places. b) What is the probability of finding an exam with academic integrity issues within the first 5 exams? Round your answer to 3 decimal places.
A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?
A sculpted needs to make 3 wood sculptures to exhibit at an art gallery. There is a probability of 0.80 that every piece of wood he carved will be good enough to be a part of the exhibit. What is the probability that he needs to carve 5 or less pieces of wood in order to produce 3 good wood sculptures for the art gallery?
Please give me solution within 30 min.
A place kicker in pro foot ball has a 77% probability of making a field goal over 40 yd and each attempted field goal is independent if the kicker made his 1st two but missed his 3rd attempt and is now trying for his 4th field goal of the game to win in overtime what is the probability that his team will win the game
Frank noticed that his mother will serve salad with dinner 78% of the nights, will serve potatoes with dinner 30% of the nights and will serve both 14% of the nights. The probability, to the nearest hundredth, that Frank's mother will serve salad or potatoes is
Ezra buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 4 oatmeal cookies.What is the probability that Ezra reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
The records of an Italian shoe manufacturer show that 10% of shoes made are defective. Assuming independence, find the probability of getting 2 defective shoes in a batch of 12.

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4. A person is known to hit the target in 3 out of 4 shots, whereas another person is known to hit the target in 2 out of 3 shots. Find the probability of the target being hit at all when they both try.