10 students-girls & boys are in a line

  • Thread starter Thread starter Cylab
  • Start date Start date
  • Tags Tags
    Line
Click For Summary
SUMMARY

The probability of the p-th student being a girl in a line of 10 students depends on the composition of the group. If there are five boys and five girls, the probability is 1/2. Conversely, if the group consists of seven boys and three girls, the probability is 3/10. The formula for calculating the probability of any specific position being occupied by a girl is x/10, where x represents the number of girls in the group.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with fractions and ratios
  • Knowledge of combinatorial principles
  • Ability to interpret mathematical expressions
NEXT STEPS
  • Study basic probability theory and its applications
  • Learn about combinatorial probability and its formulas
  • Explore examples of probability in real-world scenarios
  • Practice calculating probabilities with different group compositions
USEFUL FOR

Students, educators, and anyone interested in understanding probability concepts, particularly in combinatorial contexts.

Cylab
Messages
54
Reaction score
0
10 students--girls & boys are in a line...

Hello

There are 10 students--girls and boys--in a line.
What is probability of p-th student is girl.
{p=1,...10}

Thanks for your attention in advance.
 
Physics news on Phys.org


There is no way to answer that without further information. If there are five boys and five girls, the probability that anyone student, in any position in line, is a girl is 1/2, of course. But if the 10 students consist of seven boys and three girls,it is 3/10. The position doesn't matter. If x of the 10 students are girls, then the probability that any specific place in line is filled by a girl is x/10.
 

Similar threads

  • · Replies 24 ·
Replies
24
Views
3K
Replies
6
Views
2K
  • · Replies 20 ·
Replies
20
Views
6K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
12
Views
3K
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 24 ·
Replies
24
Views
6K