Question

A coin is tossed twice. If the second throw results in a tail, a die is thrown. Deseri the sample space for this experiment.

Answer 1

When a coin is tossed two t imes, then have the following possibilities
HH, TT, TH and TT

Now, according to the question, when We have tail in 2nd throw, then a dice is thrown.

So, the total number of elementary events associated with this experiment are

$2+2\times 6=14$

and the sample space will be

(S = {HH, TH, (HT, 1), (HT, 2), (HT, 3), (HT, 4), (HT, 5), (HT, 6), (TT, 1), (TT, 2), (TT, 3), (TT, 4), (TT, 5), (TT, 6)}