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 widowed, given that this person is a woman.
marital status of a certain population, ages 18 or older, in millions

	married	never married	divorced	widowed	total
female	61	36	16	7	120
total	122	71	31	11	235

express the probability as a simplified fraction.
the probability is .
(type an integer or a simplified fraction.)
express the probability as a decimal.
the probability is approximately .
(round to three decimal places as needed.)

Explanation:

Step1: Identify relevant values

We want P(Widowed|Female). Number of widowed females is 7, and total number of females is 120.

Step2: Calculate probability as fraction

By the formula for conditional - probability in this case, P(Widowed|Female)=$\frac{\text{Number of Widowed Females}}{\text{Total number of Females}}=\frac{7}{120}$.

Step3: Calculate probability as decimal

$\frac{7}{120}=7\div120\approx0.058$.

Answer:

The probability as a simplified fraction is $\frac{7}{120}$.
The probability as a decimal is approximately $0.058$.