Question

A coin is tossed twice. If the second throw results in a tail, a die is thrown. Describe the sample space for this experiment. Select the correct answer from above options

Answer 1

Given: A coin is tossed twice. If the second throw results in a tail, a die is thrown. When a coin tossed twice, then sample spaces for only coin will be: {HH, TT, HT, TH} Now, according to question, when we get Tail in second throw, then a dice is thrown. So, the total number of elementary events are 2 + (2×6) = 14 And 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)} ∴ The sample space is {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)}