Step 1: Identify the sample space and number of possible outcomes

NOTE: The sample space of an experiment or random trial is the set of all

possible outcomes or results of that experiment

Die has sample space S = {1, 2, 3, 4, 5, 6}

Number of outcomes n(S) = 6

Step 2: Find the favorable outcomes of the event.

(i) list out the numbers lying between 2 and 6

= {3, 4, 5}

So, Favourable outcomes = 3

(ii) List out the odd numbers = {1, 3, 5}

So, Favourable out comes = 3

Step 2: Calculate the probability

Probability of getting a number lying between 2 and 6 = \frac{3}{6} = \frac{1}{2}

Probability of getting a number an odd number = \frac{3}{6} = \frac{1}{2}