A die is formed so that the probability of getting a number i when it is rolled is proportional to i . (i=1,2,3,4,5,6) . The probability of getting an odd number on the die when it is rolled is

Step-by-step solution

Let the probability of getting a number i is P(i) . So, aligned & P(i)=K i & P(1)=K, P(2)=2 K, P(3)=3 K , & P(4)=4 K, P(5)=5 K , & P(6)=6 K & P(i)=1 21 K=1 K= 1 21 & aligned Now, probability of getting an odd number =P(1)+P(3)+P(5)=9 K= 9 21 = 3 7 .