Question: 7 (a) Three mathematicians are trying to decipher a coded document. If the probability of each of them successfully deciphering the docu- ment is 1

7 (a) Three mathematicians are trying to decipher a coded document. If the probability of each of them successfully deciphering the docu- ment is 1 go respectively, and the three people work independently from each other, what is the probability that the document will be deciphered? (b) A new light bulb has a probability of > of remain working after 1500 hours, and a probability of , of remain working after 2000 hours. A particular light bulb has been used for 1500 hours and is still working. What is the probability that this light bulb can be used for another 500 hours at least
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