Birthday Probability: 73rd Grandchild Out of 85

  • Context: High School 
  • Thread starter Thread starter amazane73
  • Start date Start date
  • Tags Tags
    probability
Click For Summary
SUMMARY

The probability of being born on a specific date, such as a grandfather's 73rd birthday, while also being the 73rd grandchild out of 85 total grandchildren, is calculated using combinatorial probability. The odds are not nearly 100% as suggested; rather, they are significantly lower due to the multiple variables involved. The calculation requires understanding of both the birthday problem and combinatorial mathematics to accurately assess the likelihood of such an event occurring.

PREREQUISITES
  • Combinatorial probability concepts
  • Understanding of the birthday problem
  • Basic statistics and probability theory
  • Mathematical reasoning skills
NEXT STEPS
  • Research combinatorial probability calculations
  • Study the birthday problem in depth
  • Explore statistical methods for calculating odds
  • Learn about probability distributions and their applications
USEFUL FOR

Mathematicians, statisticians, educators, and anyone interested in probability theory and its real-world applications.

amazane73
Messages
1
Reaction score
0
What are the odds of me being born on my grandfather's 73rd birthday and being his 73rd grandchild? (there are 85 grandchildren total)
 
Physics news on Phys.org
amazane73 said:
What are the odds of me being born on my grandfather's 73rd birthday and being his 73rd grandchild? (there are 85 grandchildren total)

I'm guessing, but I'd say it's pretty certain. Nearly 100%. Am I right?
 

Similar threads

High School Concerning the birthday problem in probability
  • · Replies 12 ·
Replies
12
Views
5K
High School Chance of 23 people have atleast one shared birthday
  • · Replies 6 ·
Replies
6
Views
2K
MHB Variation of the shared birthday problem
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad What is the probability of a group of 800 people sharing a specific birthday?
  • · Replies 8 ·
Replies
8
Views
4K
High School Probability of arranging identical objects
  • · Replies 3 ·
Replies
3
Views
2K
High School The Probability of an Event
  • · Replies 11 ·
Replies
11
Views
3K
High School A Little Probability Puzzle
  • · Replies 20 ·
Replies
20
Views
4K
High School Is one out of infinity different from zero?
  • · Replies 31 ·
2
Replies
31
Views
3K
Undergrad Probability of Shared Birthdays in a Room of People Born in January
  • · Replies 1 ·
Replies
1
Views
3K
High School The law of total probability with extra conditioning
  • · Replies 2 ·
Replies
2
Views
2K