The probability of a person using an umbrella on a rainy day is 0.3. The probability of a person wearing a raincoat is 0.2. These events are mutually exclusive. What is the probability that a person will wear a raincoat or carry an umbrella when it rains (round your answer to one decimal place)?
Question
The probability of a person using an umbrella on a rainy day is 0.3. The probability of a person wearing a raincoat is 0.2. These events are mutually exclusive. What is the probability that a person will wear a raincoat or carry an umbrella when it rains (round your answer to one decimal place)?
Solution
To solve this problem, we need to understand that the events are mutually exclusive. This means that they cannot occur at the same time. In other words, if a person is using an umbrella, they are not wearing a raincoat, and vice versa.
The probability of either one of two mutually exclusive events occurring is the sum of their individual probabilities.
So, the probability of a person wearing a raincoat (0.2) or carrying an umbrella (0.3) when it rains is 0.2 + 0.3 = 0.5.
Therefore, the probability that a person will wear a raincoat or carry an umbrella when it rains is 0.5 or 50% when rounded to one decimal place.
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