Again, consider the data in the table shown which represents the marital status of males and females 18 years or older in the United States in 2015. Determine the probability that a randomly selected U.S. resident is male or never married. Round your answer to three decimal places. Males (in millions) Females (in millions) Total (in millions) Never married 28.6 23.3 51.9 Married 62.1 62.8 124.9 Widowed 2.7 11.3 14.0 Divorced 9.0 12.7 21.7 Total (in millions) 102.4 110.1 212.5 (Source: U.S. Census Bureau, Current Population reports)
Solution:
(in Millions) | Males | Females | Total |
Never married | 28.6 | 23.3 | 51.9 |
Married | 62.1 | 62.8 | 124.9 |
Widowed | 2.7 | 11.3 | 14 |
Divorced | 9 | 12.7 | 21.7 |
Total | 102.4 | 110.1 | 212.5 |
Determine the probability that a randomly selected U.S. resident is male or never married.
P( Male or never married) = P( Male) + P( never married)- P( Male and never married)
P( Male or never married) = 102.4 / 212.5 + 51.9 /212.5 - 28.6 / 212.5
P( Male or never married) = ( 102.4+51.9 - 28.6) / 212.5
P( Male or never married) = 125.7 / 212.5
P( Male or never married) = 0.59153
P( Male or never married) = 0.592
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