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A reporter announces that there is an 80% chance of a thunderstorm tomorrow, and if the thunderstorm materializes, there is a 14% chance that it will produce a tornado.What is the probability that there will be a tornado tomorrow? What is the probability that there is a storm, but does not produce a tornado?

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Answer & Step-by-step explanation:

We will only get a tornado if there is already a thunderstorm materializing

0.80 * 0.14 = 0.112

Probability of a tornado = 11.2%

There is a 100 - 14 = 86% chance of a tornado not being produced.

0.80 * 0.86 = 0.688

Probability of a storm and no tornado = 68.8%