b. You select three cards from 10 - card deck with the number 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 with replacement (you replace the card after each selection and shuffle the deck). Probability that three cards selected by you have three different numbers is

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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Solve Part B only for question 14 and show work for each step of the problem. Please and thank you.

14.
Find the following probabilities. Represent them as the decimal fractions with 4 digits after
decimal point.
a. You select three cards from 10 - card deck with the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10
with replacement (you replace the card after each selection and shuffle the deck).
Probability that three cards selected by you have the same number is
b. You select three cards from 10 - card deck with the number 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10
with replacement (you replace the card after each selection and shuffle the deck).
Probability that three cards selected by you have three different numbers is
Transcribed Image Text:14. Find the following probabilities. Represent them as the decimal fractions with 4 digits after decimal point. a. You select three cards from 10 - card deck with the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 with replacement (you replace the card after each selection and shuffle the deck). Probability that three cards selected by you have the same number is b. You select three cards from 10 - card deck with the number 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 with replacement (you replace the card after each selection and shuffle the deck). Probability that three cards selected by you have three different numbers is
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