
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

The husband is 35 years old, and his wife is 28 years old. What is the probability that in 20 years:

a) both are alive? 

b) the husband has passed away?

c) the wife has passed away? 

d) both have passed away?

e) the husband has passed away, but the wife is alive?

f) the husband is alive, but the wife has passed away?

According to the relevant mortality table, out of every 1000 newborns:

- 675 reach 28 years of age
- 630 reach 35 years of age
- 540 reach 48 years of age
- 486 reach 55 years of age

Present the answer in LaTex format: \boxed{Your answer}
user