How can I solve this Question? HELP ME

Question

The given table indicates the transactions for one teller for one day. Letting
Upper E1 represent "cashing a check" and
Upper E2 represent "making a deposit," express P (E1'|E2')
in words and find its value

 

Transaction    Cash Check     No Check    Totals
Make Deposit       29              12           41
No Deposit           23              11           34
Total                     52              23           75

 

 

Answer 1

The correct expression of P (E1'|E2') in words is C. The probability of a customer not cashing a check, given that the customer did not make a deposit.

 

Now,

 

P(E1') = 23/75

 

P(E2') = 34/75

P(E1' ∩ E2') = 11/75

So, P(E1'/E2') = P(E1' ∩ E2')/P(E2')

                     = (11/75)/(34/75)

                     = 11/34

 

Hence, P(E1'/E2') = 11/34