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

  • Context: MHB 
  • Thread starter Thread starter Srushti
  • Start date Start date
  • Tags Tags
    Probability Years
Click For Summary
SUMMARY

The probability that at least 2 of the 3 individuals, A, B, and C, will survive for 10 years is calculated to be 247/315. Individual probabilities reveal that A has a survival probability of 4/105, while C has a death probability of 2/21 within the same timeframe. Assuming independence among the survival events of A, B, and C, further calculations can be performed to determine the exact survival probabilities for each individual. This scenario exemplifies the application of probability theory in a Venn diagram context.

PREREQUISITES
  • Understanding of basic probability theory
  • Familiarity with independent events in probability
  • Knowledge of Venn diagrams for visualizing probabilities
  • Ability to perform calculations involving fractions
NEXT STEPS
  • Study the concept of independent events in probability theory
  • Learn how to construct and interpret Venn diagrams for probability problems
  • Explore advanced probability calculations involving multiple events
  • Investigate real-world applications of survival analysis in statistics
USEFUL FOR

Statisticians, mathematicians, students studying probability theory, and anyone interested in survival analysis and its applications.

Srushti
Messages
1
Reaction score
0
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.
 
Physics news on Phys.org
This looks like a "Venn diagram" problem!
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 12 ·
Replies
12
Views
5K
Replies
1
Views
2K
Replies
10
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
1K
Replies
147
Views
10K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
1
Views
3K