Question

An experiment consists of tossing a coin and then throwing it second time if a head occurs . If a tail occurs on the first toss, then a die is rolled once. Find the sample space for this experiment.

Answer 1

The sample space S for tossing a coin and then tossing it second time if a head occurs, if a tail occurs on the first toss, the dice is tossed once, then

S= { HH, HT, T₁, T₂, T₃, T₄, T₅, T₆ }

Here, T₁ means tail T on the coin and the number on the die.