Tom, Mike and Jane decode the code independently, the probabilities of their successfully decoding are 0.4, 0.5 and 0.6 respectively. Try to find the probability that the password is decoded successfully.(Take T, M, J as events that Tom, Mike and Jane decode the password respectively, take S as event that the password is decoded successfully. )

Tom, Mike and Jane decode the code independently, the probabilities of their successfully decoding are 0.4, 0.5 and 0.6 respectively. Try to find the probability that the password is decoded successfully.(Take T, M, J as events that Tom, Mike and Jane decode the password respectively, take S as event that the password is decoded successfully. )

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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Question

Tom, Mike and Jane decode the code independently, the probabilities of their successfully
decoding are 0.4, 0.5 and 0.6 respectively. Try to find the probability that the password is decoded
successfully.(Take T, M, J as events that Tom, Mike and Jane decode the password respectively, take
S as event that the password is decoded successfully. )

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