Task 8. From the set {0,1,2,3,4,5,6,7,8,9 } we randomly draw three digits without returning. Calculate the probability of drawing: a) even numbers only, b) a three-digit number (made up of $ these numbers in the order they were drawn) divisible by 5 c) the second time the number 3.

Task 8. From the set {0,1,2,3,4,5,6,7,8,9 } we randomly draw three digits without returning. Calculate the probability of drawing: a) even numbers only, b) a three-digit number (made up of $ these numbers in the order they were drawn) divisible by 5 c) the second time the number 3.

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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Question

Task 8. From the set {0,1,2,3,4,5,6,7,8,9 } we randomly draw three digits without returning. Calculate the probability of drawing:
a) even numbers only,
b) a three-digit number (made up of $ these numbers in the order they were drawn) divisible by 5
c) the second time the number 3.

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Expert Solution

Step 1

Given the set has following data points

$= \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$

a) The even numbers from the set are $= \{2, 4, 6, 8\}$

The number of favorable outcomes are $= 4$
The number of total outcomes are $= 10$

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