A fair six-faced dice is thrown once. Consider the following events and answer the questions:
a. (i) Calculate the probability of event E: ‘getting a number less than 7’.
b. (ii) Identify the type of event E (sure, impossible or neither) with reason.
c. (iii) Calculate the probability of event F: ‘getting a number greater than 6’. Classify the event type with reason.
d. (iv) Explain whether the six elementary outcomes when a dice is rolled are equally likely. Support your answer with suitable arguments.