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A model rocket has two parachutes, a main one, and a secondary one that should deploy only if the first fails to do so. Suppose
A model rocket has two parachutes, a main one, and a secondary one that should deploy only if the first fails to do so. Suppose the main shoot deploys with probability 0.87. (a) Assume due to a significant construction error, the secondary shoot deploys independently of the first shoot with probability .80. What is the probability that at least one of the two shoots deploys? (b) After some tweaks to the construction, the secondary shoot deploys with probability .80 if the first fails and the secondary shoot deploys with the main shoot with probability .02. Again is the probability that (i) At least one of the two shoots deploys? and (ii) that the secondary shoot deploys
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