Example 2. A three-digit number (that is, a number from 100-999) is selected "at ran-dom." (“At random" means that we assume all numbers to have the same proba-bility of being selected.) What is the probability that all three digits are the same?There are 900 three-digit numbers; 9 of them (namely 111, 222, ..,all three digits the same. Hence the desired probability is p00 = T00:999) have

Answered: Image /qna-images/answer/98113ea3-b71c-4103-982f-09af1d7a4808.jpg

Answered: Example 2. A three-digit number (that…

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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Three distinct numbers between 10 and 25 (inclusive) are chosen at random. What is the probability that the numbers are all composite numbers?
Suppose that 20% of boys opted for mathematics and 40% of girls opted for mathematic Wi probability tha rematics if half of the cl 0.3 0.5 0.4 0.7
Example 7: If 3 balls are distributed to 4 cells, numbered as 1, 2, 3, 4. Find the probability that each cell numbered 1, 2, 3 will contain exactly one ball.
Suppose that your friend Kamala randomly chooses a number between 1 and 13 (including both 1 and 13) and asks you to guess what it is. Answer the following questions: 1. What is the probability she is thinking of an even number? 2. What is the probability the number she is thinking of has a 1 in it? 3. What is the probability that the number she is thinking of is at least 5?
What is the probability that in a group of n people at least two of them will have the same birthday. Leap year is excluded.
There are twelve different chips in a bag: 6 red, 2 yellow and 4 blue. If two chips are drawn with replacement from the bag (one after the other), what is the probability that at least one of them is yellow? (Start with the appropriate formula in context.)
In roulette, a wheel is divided up into slots of equal area. each slot is labeled with one of the numbers from 0 through 36, and one slot is labeled with a 00. half the slots are red, and half the slots are black. when the wheel is spun, it lands on one of these slots.( the problem is complete.) (a) if the wheel is spun three times, find the probability it lands on a 17 twice, and then a red slot.(b) if the wheel is spun three times, find the probability it does not land on the 00 slot all 3 times.(c) if the wheel is spun three times, find the probability it lands on a slot other than 00 all three times.
Mustafiz has 95 balls which are labeled with the numbers from 1 to 95. He draws out a ball from the bag, records down the number and then puts it back in the bag. He does this a total of 3 times (hence has 3 numbers). Now answer the following questions. i. What is the probability that all the numbers are different? [Give your answer upto 4 decimal places] ii. What is the probability that at least 2 of the numbers are equal? (Give your answer upto 4 decimal places)
(5) In the New Jersey Pick 4 lottery a player can buy a $0.50 ”Straight” ticket by choosingfour digits (0-9, repetition is allowed). Four digits are chosen at random, and if theplayer’s four digits are chosen (in the same order) the player wins $2500. If a playerpurchases a single ticket what is their probability of winning?
Two machines are selected at random without replacement from 10 for inspection. Suppose that unknown to the inspector, three of the ten machines are defective. Find the probability that both machines picked for inspection are defective?
A company is to make 5 character codes, the first three characters being letters from the alphabet followed by 2 digits from 0-9. What is the probability that the code starts with the letter A and ends with the number 0 if repetition is allowed?

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