Question

In​ 2010, there were 32 million people over 65 years of age out of a population of 307 million. By​ 2050, it is estimated that there will be 88 million people over 65 years of age out of a population of 434 million. Would your chances of meeting a person over 65 at random be greater in 2010 or​ 2050? Explain.

Answer 1

2050

Explanation:

Year 2010

The number of people over 65 years of age =32 million

Total population = 307 million.

P(meeting a person over 65 at random in 2010)

`=\frac{32 \text{ million}}{307\text{ million}} \\\\=0.1042`

Year 2050

The number of people over 65 years of age =88 million

Total population = 434 million.

P(meeting a person over 65 at random in 2050)

`=\frac{88\text{ million}}{434\text{ million}} \\\\=0.2028`

Conclusion: Since 0.2028 is greater than 0.1042, the chances of meeting a person over 65 at random will be greater in 2050