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here given , to win a lottery game , the player must select 3 out of 25 numbers correctly and 1 out…

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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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Similar questions

A multiple-choice test consists of 5 questions, each question with 4 possible responses(A, B, C, D). A student guesses on each question. Find the probability that the student will guess correctly on at least 1 question.
Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?
A golf ball is selected at random from a golf bag. If the golf bag contains 4 green balls, 7 red balls, and 7 brown balls, find the probability of the following event. The golf ball is green or red?
A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you choose the tiles with the letters A, B, and C? Enter your final answer as a fraction in simplest form.
The digits 2, 3, 4, 5, 6, 7, and 8 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 800.
A certain lottery allows you to choose 5 numbers from the values 0 to 49. What is the probability of winning the jackpot (getting all 5 numbers correct)?
A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? 1/30 = 0.03 or 3% 3/(30+30+30) = 3/90 = 0.33 or 33% 3/(30×30×30) = 3/27000 = 0.0001 or 0.01% 1/(30×30×30) = 1/27000 = 0.00003 or 0.003% Question 18
A student takes a 28-question multiple-choice exam but did not study and randomly guesses each answer. Each question has three possible choices for the answer. Find the probability that the student guesses more than 75% of the questions correctly.
Suppose that medical science has a cancer-diagnostic test that is 95% accurate on both those who do and those who do not have cancer. If 0.005 of the population actually has cancer, compute the probability that a particular individual has cancer, given that the test detected cancer.

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To win a lottery game, the player must select 3 out of 25 numbers cor- rectly and 1 out of 15 numbers correctly. What is the probability of winning with one ticket?