Records indicate that, in Australia, 65% of secondary students participate in sport, and 71% of secondary students are Australian by birth. They also show that 53% of students are Australian by birth and participate in sport. Use this information to find: The probability that a student selected at random is not Australian by birth
 The probability that a student selected at random is not Australian by birth and does not participate in sport. Given that the selected student is Australian by birth, what is the probability that the student participates in sport?

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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  1. Records indicate that, in Australia, 65% of secondary students participate in sport, and 71% of secondary students are Australian by birth. They also show that 53% of students are Australian by birth and participate in sport. Use this information to find:
    1. The probability that a student selected at random is not Australian by birth

    2. The probability that a student selected at random is not Australian by birth and does not participate in sport.
    3. Given that the selected student is Australian by birth, what is the probability that the student participates in sport?
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