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A small one lane bridge is susceptible to damages from heavy trucks. The bridge has room for only two trucks at most. You will investigate

A small one lane bridge is susceptible to damages from heavy trucks. The bridge has room for only two trucks at most. You will investigate event of possible damage (D) to the bridge when two trucks are driving over bridge simultaneously. A truck weighing station was set near the bridge to estimate the chances of having overloaded trucks. Around 4% of the trucks were estimated to be overloaded ( i.e. above legal limit). The overloading of trucks can be considered statistically independent. The likelihood of damage to the bridge is 0.3 when both trucks are overloaded; the likelihood of damage is 0.1 if only one of the trucks is overloaded, and the likelihood of damage is 0.001 when both trucks are not overloaded. To set up your solution, consider the events: O1: the first truck is overloaded O2: the second truck is overloaded What is the probability that the two trucks on the bridge are both overloaded at any given moment

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