Two numbers are randomly picked from the ranges [-1,2] and [1,3]. a) Write the sample space. b) What is the probability that the sum of these two numbers is less than 4 but greater than 2? c) What is the probability that the sum of these two numbers equals 4? d) The sum of these two numbers is less than 4, greater than 2 and x is greater than y What are the chances of it happening?

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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Two numbers are randomly picked from the ranges [-1,2] and [1,3].

a) Write the sample space.
b) What is the probability that the sum of these two numbers is less than 4 but greater than 2?
c) What is the probability that the sum of these two numbers equals 4?
d) The sum of these two numbers is less than 4, greater than 2 and x is greater than y
What are the chances of it happening?

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