A survey is taken of adults in an urban area. Of the adults surveyed, 118 do not have a driver's license. There are 1000 adults total in the survey.An adult surveyed is randomly selected. Let the event A and the event B be as follows.A: The adult does not have a driver's license.B: The adult has a driver's license.Find the following probabilities. Write your answers as decimal numbers and do not round.=PA=PB
Question
A survey is taken of adults in an urban area. Of the adults surveyed, 118 do not have a driver's license. There are 1000 adults total in the survey.An adult surveyed is randomly selected. Let the event A and the event B be as follows.A: The adult does not have a driver's license.B: The adult has a driver's license.Find the following probabilities. Write your answers as decimal numbers and do not round.=PA=PB
Solution
The event A is that the adult does not have a driver's license. The probability of event A, denoted P(A), is the number of adults without a driver's license divided by the total number of adults.
So, P(A) = 118 / 1000 = 0.118
The event B is that the adult has a driver's license. The probability of event B, denoted P(B), is the number of adults with a driver's license divided by the total number of adults.
First, we need to find the number of adults with a driver's license. This is the total number of adults minus the number of adults without a driver's license, which is 1000 - 118 = 882.
So, P(B) = 882 / 1000 = 0.882
Therefore, P(A) = 0.118 and P(B) = 0.882.
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