Question 245971:  Please help!!! Thanks in advance for you time!
 
A three-stage rocket has the following probabilities for failure: The probability for failure at stage one is 1/6; at stage two,1/8; and at stage three,1/10. What is the probability of a successful flight, given that the first stage was successful?
 
 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Thanks in advance for you time!  
A three-stage rocket has the following probabilities for failure: The probability for failure at stage one is 1/6; at stage two,1/8; and at stage three,1/10. What is the probability of a successful flight, given that the first stage was successful? 
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P(success|1st stage success) = P(all succeed)/P(1st stage succeed) 
= [(5/6)*(7/8)*(9/10)]/[5/6] = (7/8)(9/10 = 63/80 
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Cheers, 
Stan H.  
 
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