Question

Which of the following cannot be valid assignment of probability for elementary events or outcomes of sample space S = {w1, w2, w3, w4, w5, w6, w7}: Select the correct answer from above options

Answer 1

For each event to be a valid assignment of probability. The probability of each event in sample space should be less than 1 and the sum of probability of all the events should be exactly equal to 1. (i) It is valid as each P (wi) (for i=1 to 7) lies between 0 to 1 and sum of P (w1) =1 (ii) It is valid as each P (wi) (for i=1 to 7) lies between 0 to 1 and sum of P (w1) =1 (iii) It is not valid as sum of P (wi) = 2.8 which is greater than 1 (iv) it is not valid as P (w7) = 15/14 which is greater than 1