Answer to Question #202857 in Statistics and Probability for Abby

Question

The top 5 students are getting awards for the highest marks in Grade 11. There are 2 boys 

      and 3 girls. For a picture they are randomly seated along a bench in the gym.    

What is the probability that the students are seated in order of age 

             (assuming no birthdays  are the same)

Answer 1

Number of all possible seating arrangements: $N=5!=120.$

There is only one arrangement when the students are seated in order of age.

Thus, the probability that the students are seated in order of age: $P=\frac{1}{120}\approx0.0833.$