Question

Odds are 8 to 5 against a person who is 40 years old living till he is 70 years and 4 to 3 against another person who is now 50 years old living till he is 80 years. Probability that one of then will be alive for next 30 years is:

Answer 1

Probability will be $\frac{15}{91}$

Step-by-step explanation:

We have given that odds are 8 to 5 against a person he will alive more thirty years

So the probability that the man will be alive in next 30 years  = $\frac{5}{13}$

The probability that the man will be dead in next 30 years =  $\frac{8}{13}$

Now for second man there is 4 to against that he will alive next thirty years

So the probability that the other man will be alive in next 30 years = $\frac{3}{7}$

And The probability that the man will be dead in next 30 years =  $\frac{4}{7}$

the probability that both men are alive for 30 next years =  $\frac{5}{13}\times \frac{3}{7}=\frac{15}{91}$

Learn more

Odds are 8:5 against a man who is 55 years old, living till he is 75 and 4:3 against his wife who is now 48, leaving till she is 68. find the probability that one couple will be alive live 20 years hence

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