Question

there are 1000 adults in an urban area who are surveyed. of the adults surveyed, 774 have a drivers license. an adult surveyed is randomly selected. let the event a and the event b be as follows. a: the adult has a drivers license. b: the adult does not have a drivers license. find the following probabilities. write your answers as decimal numbers and do not round. p(a)=□ p(b)=□

Explanation:

Step1: Recall probability formula

The probability of an event $E$ is given by $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Calculate $P(A)$

The total number of adults surveyed is $n = 1000$, and the number of adults with a driver - 's license (favorable outcomes for event $A$) is $n_A=774$. So, $P(A)=\frac{774}{1000}=0.774$.

Step3: Calculate $P(B)$

The number of adults without a driver - 's license is $n_B=1000 - 774=226$. Then $P(B)=\frac{226}{1000}=0.226$.

Answer:

$P(A)=0.774$
$P(B)=0.226$