Question

if m and distinct coins have been distributed in emphasis of different colours and coins into each then the probability that two specified coin will be found in same purse ​

Answer 1

Given: Correct question is mn coins have been distributed into m purses, n into each.

To find: The chance that two specified coins will be found in the same purse

Solution:

• Let the two coins be represented as A and B.

• Then we can find the chance of B is with A. It is:  

               ( n−1  ) / ( mn−1 )     ................whenever A is placed.

• So, now there remain ( mn−1 )  position for B, ( n−1 ) of which are considered to be favorable.

• So the chance of A and B which are not together is  

               n x (m−1)  / ( mn−1  )

• ​Now, there are m-r purses which are not examined  

• So, if A and B are together, then the chance that they occur in these ( m-r ) purses is :  

               ( m−r )  / m

• So now, if A and B are different then the chance that they occur in these purses is  

               ( m−r ) x ( m−r−1 )  / m x ( m−1 )

​  

Solution:

                       So, if A and B are together then ( m−r )  / m and if A and B are different then ( m−r ) x ( m−r−1 )  / m x ( m−1 )