Hi A_SD,
It is my understanding that you want to calculate the outage probability (
) of 10 users when minimum rate (
) is greater than 3 and 
is known under Rayleigh channel.
) of 10 users when minimum rate () is greater than 3 and is known under Rayleigh channel.Since 'R_min' is equal to 3, outage probability is equal to the probability that capacity is less than or equal to R_min.
From the Shannon-Hartley theorem we can define capacity for Rayleigh channel as
h represents the fading channel coefficient.
Therefore, 
.
. The probability distribution of rayleigh fading channel is
Note that this is the outage probability for 1 user.
For all 10 users it will be 
.
.For atleast 1 user out of 10 it will be 
.
.Hope this helps.
