Question

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

Answer 1

Given: A coin is tossed twice. If the second throw results I a tail, A die is thrown. 

To Find: Write the sample space for the given experiment. 

Explanation: 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)} 

Hence, this is the sample space for given experiment.