+0  
 
0
66
2
avatar

A class of 10 students, including Jenny, Kenny, and Lenny, are split into two groups of 5 students at random to work on a group project. What is the probability that both Jenny and Kenny are in a different group?

 Oct 22, 2022
 #1
avatar+2448 
+1

There are \({10 \choose 5} = 252\) ways to choose the groups. 

 

If Jenny and Kenny are in the same group, there are 3 spots left, which makes for \({8 \choose 3} = 56\) ways to be in the same group. 

 

So, there are 252 - 56 = 196 ways for Jenny and Kenny to be in different groups. 

 

The probability is then \({196 \over 252} = \color{brown}\boxed{7 \over 9}\)

 Oct 22, 2022
 #2
avatar
0

Wrong answer.

Guest Oct 22, 2022

32 Online Users

avatar