Question

express the following probability as a simplified fraction and as a decimal.
if one person is selected from the population described in the table, find the probability that the person is married or is divorced.

express the probability as a simplified fraction.
p(married or divorced) = \frac{157}{242}
(type an integer or a simplified fraction.)
express the probability as a decimal.
p(married or divorced) \approx \square
(round to two decimal places as needed)

Explanation:

Step1: Recall the formula for probability

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). We already have the fraction \(\frac{157}{242}\) for the probability.

Step2: Convert the fraction to a decimal

To convert \(\frac{157}{242}\) to a decimal, we perform the division \(157\div242\).
Using a calculator, \(157\div242\approx0.65\)

Answer:

\(P(\text{married or divorced})\approx0.65\)