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1 A fair decahedral die numbered 1, 2, 3, ..., 10 is thrown and the number noted. The events A, "throw a square number", and B, "throw a factor of six", are represented on the Venn diagram below: 2 4 1 A 8 10 a Find P(A), P(B), P(AN B) and P(A U B). b Hence show that P(AUB) = P(A) + P(B) – P(A n B). State with a reason whether events A and B are mutually exclusive.

1 A fair decahedral die numbered 1, 2, 3, ..., 10 is thrown and the number noted. The events A, "throw a square number", and B, "throw a factor of six", are represented on the Venn diagram below: 2 4 1 A 8 10 a Find P(A), P(B), P(AN B) and P(A U B). b Hence show that P(AUB) = P(A) + P(B) – P(A n B). State with a reason whether events A and B are mutually exclusive.

A First Course in Probability (10th Edition)
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 A fair decahedral die numbered 1, 2, 3, ..., 10 is thrown and the number noted. The events A, "throw a square number", and B, “throw a factor of six", are represented on the Venn diagram below: 4 1 7. 8. 10 a Find P(A), P(B), P(A^ B) and P(A U B). b Hence show that P(AU B) = P(A) + P(B) – P(A B). State with a reason whether events A and B are mutually exclusive.
Transcribed Image Text:1 A fair decahedral die numbered 1, 2, 3, ..., 10 is thrown and the number noted. The events A, "throw a square number", and B, “throw a factor of six", are represented on the Venn diagram below: 4 1 7. 8. 10 a Find P(A), P(B), P(A^ B) and P(A U B). b Hence show that P(AU B) = P(A) + P(B) – P(A B). State with a reason whether events A and B are mutually exclusive.
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