MHB Probability of Surviving 10 Years for A, B, and C

[Srushti]

The probability that at least 2 of 3 people A, B, and C will survive for 10years is 247/315. The probability that A alone will survive for 10 years is 4/105 and the probability that C alone will die within 10 years is 2/21. Assuming that the events of t.he survival of A, Band C can be regarded as independent, calculate the probability of surviving 10 years for each person.

 

[HOI]

This looks like a "Venn diagram" problem!