A 12-sided die is rolled, and a spinner with 5 equal sections, including red, yellow, blue, blue, and purple, is spun. If the probability of rolling an odd number and spinning a blue is 0.2, are the two events independent? Justify the conclusion mathematically.

A 12-sided die is rolled, and a spinner with 5 equal sections, including red, yellow, blue, blue, and purple, is spun. If the probability of rolling an odd number and spinning a blue is 0.2, are the two events independent? Justify the conclusion mathematically.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The events are not independent because (0.25)(0.8) = 0.2.

The events are independent because (0.25)(0.8) = 0.2.

The events are not independent because (0.5)(0.4) = 0.2.

The events are independent because (0.5)(0.4) = 0.2.

A 12-sided die is rolled, and a spinner with 5 equal sections, including red, yellow, blue, blue, and purple, is spun.
If the probability of rolling an odd number and spinning a blue is 0.2, are the two events independent? Justify the conclusion mathematically.

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