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

  • Thread starter Thread starter Srushti
  • Start date Start date
  • Tags Tags
    Probability Years
AI Thread Summary
The probability that at least two of the three individuals, A, B, and C, will survive for 10 years is calculated to be 247/315. The individual survival probability for A alone is determined to be 4/105, while the probability of C dying within that timeframe is 2/21. Assuming independence among their survival events allows for further calculations of each person's survival probability. The discussion emphasizes the use of a Venn diagram approach to visualize and solve the problem. Overall, the calculations highlight the complex interplay of survival probabilities among the three individuals.
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.
 
Mathematics news on Phys.org
This looks like a "Venn diagram" problem!
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Similar threads

Lost at Sea ~ The Nantucket story
Replies
3
Views
2K
MHB What is the probability that exactly 8 of them are over the age of 65
Replies
1
Views
3K
MHB A Galton Watson branching process
Replies
8
Views
3K
MHB S.aux.26 our-sided die has three blue faces, and one red face.......
Replies
2
Views
4K
MHB Could use help, know the answers but with the process and equations
Replies
2
Views
3K
I What is the probability of a cable having a breaking load greater than 6200 N?
Replies
5
Views
2K
MHB Probability question (mean, SD)
Replies
1
Views
2K
MHB How to exclude combinations for defined sequences?
Replies
1
Views
2K
Probability Word Problem: Aptitude Question
Replies
8
Views
2K
MHB Simple Algebra? This is from a 10 year olds homework
Replies
8
Views
5K

Hot Threads

Recent Insights

Back
Top