Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

express the following probability as a simplified fraction and as a dec…

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 not divorced.
marital status of a certain population, ages18 or older, in millions

marriednever marrieddivorcedwidowedtotal
male6741132123
female6640189133
total133813111256

express the probability as a simplified fraction.
p(not divorced)= \\(\frac{225}{256}\\)
(type an integer or a simplified fraction.)
express the probability as a decimal.
p(not divorced) \\(\approx\\) \\(square\\)
(round to two decimal places as needed.)

Explanation:

Step1: Identify the fraction

We have the fraction for the probability of not being divorced as $\frac{225}{256}$.

Step2: Convert to decimal

To convert the fraction $\frac{225}{256}$ to a decimal, we perform the division: $225 \div 256$.
Calculating this, $225\div256 = 0.87890625$. Rounding to two decimal places, we look at the third decimal place which is 8, so we round up the second decimal place.

Answer:

0.88