An autonomous robot needs to spend 3 months on duty exploring mars There is a – 10% chance that it will deplete its battery during the first month – 20% chance that it will deplete its battery during the second month – 50% chance that it will deplete its battery during the third month Two possible outcomes: – the battery is depleted before completing mission – Mission is completed What is the probability that the battery is depleted before completing the mission? Please provide expalnation for steps throughout

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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An autonomous robot needs to spend 3 months on duty exploring mars

There is a

–  10% chance that it will deplete its battery during the first month

–  20% chance that it will deplete its battery during the second month

–  50% chance that it will deplete its battery during the third month 

Two possible outcomes:

–  the battery is depleted before completing mission

–  Mission is completed

What is the probability that the battery is depleted before completing the mission? Please provide expalnation for steps throughout

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