Question
A gas station has three grades of fuel, regular, premium and diesel. Due to problems with the supply chain, the probabilities that the station will
A gas station has three grades of fuel, regular, premium and diesel. Due to problems with the supply chain, the probabilities that the station will run out of any three fuel types in a week are 0.10, 0.16 and 0.24, respectively. These probabilities are statistically independent. Also, if there is a shortage of diesel, the probability of a shortage of premium becomes 0.25.
1. How likely is the station to run out of all three fuels in a given week?
2. What is the probability that if regular runs out, both premium and diesel will also run out?
3. What is the probability that the station will run out of at least one of either premium and diesel?
4. What is the probability that the station will run out of at least 2 of the fuels in a week?
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