You and a group of friends are going to a five-day outdoor music festival during

Question

You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during the festival, but the weather forecast says there is a 10percentage chance of rain on the first day, a 20 percentage chance of rain on the second day, a 30 percentage chance of rain on the third day, a 35 percentage chance of rain on the fourth day, and a 40 percentage chance of rain on the fifth day. Assume these probabilities are independent of whether it rained on the previous day or not. What is the probability that it does not rain during the entire festival? Express your answer as a percentage to two decimal places. percentage

Explanation / Answer

Here we need to use the complement rule. The probability that it does not rain during the entire festival is

P(no rain) = (1 - 0.10) ( 1 - 0.20) ( 1- 0.30)(1-0.35)(1-0.40) = 0.19656

hence, required probability is 19.66%.

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