Short Answer TypeDescribe the sample space for the following experiment.
A coin is tossed and a die is thrown (rolled).
Describe the sample space for the following experiment.
A coin is tossed and a die is rolled only in case a head is shown on the coin.
An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.
The sample space obtained by rolling a die is
S1 = {1,2,3,4,5,6}
If the number on the die is even i.e., 2, 4 or 6, we toss a coin with sample space
S2 = {H, T}
If the number is odd i.e, 1, 3 or 5, we toss two coins with sample space
S3 = {HH, HT, TH, TT}
Hence, the combined sample space is :
S = {2H, 2T, 4H, 4T, 6H, 6T, 1HH, 1HT, 1TH, ITT, 3HH, 3HT, 3TH, 3TT, 5HH 5HT, 5TH, 5TT}
Switch
