Question

The odds are 9:5 against a person who is 50 years living till he is 70 and 8:6 against a person who is 60 living

till he is 80. Find the probability that at least one of them will be alive after 20 years.



Ans : 31/49


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Answer 1

Answer:

Final accounts gives an idea about the profitability and financial position of a business to its management, owners, and other interested parties. All business transactions are first recorded in a journal. They are then transferred to a ledger and balanced. These final tallies are prepared for a specific period. Wikipedia

Step-by-step explanation:

don't answer on my question

Answer 2

Answer:,The probability that at least one of them will be alive after 20 years is $\frac{31}{49}$

Step-by-step explanation:

Given: The odds are 9:5 against a person who is 50 years living till he is 70 and 8:6 against a person who is 60 living till he is 80.

To find: We have to find that at least one of them will be alive after 20 years.

Explanation:

Step 1: The odds against 50 years old person living till he is 70 is 9:5.

∴           The probability that he will live till 70 years $=\frac{5}{14}$

Step 2: The probability that he will not live till 70 years $=\frac{9}{14}$

Step 3: The odds against 60 years old person living till 80 years are 8:6

∴           The probability that he will live till 80 years $=\frac{6}{14}$

Step 4: The probability that he will not live till 80 years $=\frac{8}{14}$

Step 5: The probability that at least one of the person will live 20 years more$=1-$ probability that he will not live 20 years more.

        $=1-\frac{9}{14}$×$\frac{8}{14}$

        $=1-\frac{18}{49}$

        $=\frac{49-18}{49}$

        $=\frac{31}{49}$

Hence,the probability that at least one of them will be alive after 20 years is $\frac{31}{49}$.

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