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Find the probability that the machine will not work

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A candy machine has 15 buttons to make selections. Three buttons never work, two buttons each work with a probability of 0.6, and the others work with a probability of 0.9. If the buttons are pushed at random with equal probability:

(a) Find the probability that the machine will not work on any one trial.
(b) If the machine did not work, find the probability that one of the buttons that never work was the one pushed

Reference no: EM13328417

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