Answer:
a) S = [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT]
b) [HTT, THT, TTH, TTT]
c) 1/2
Step-by-step explanation:
Sample space is the total number of event outcome after flipping the three coins.
a) First, flipping two coins will generate the following sample space:
[HH, HT, TH, TT]
If one more coin with a Head H and a tail T is added making 3coins and then flipped together, the total number of outcomes that can be generated is:
S = [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT]
The total sample space that can be generated is 8
b) out of the events, those that have at least two tails from the list of events are [HTT, THT, TTH, TTT]
Note that at least 2tails means events that have either two tails or more in their outcome. This are the known as POSSIBLE OUTCOME OF EVENTS i.e 4
c) Probability = Possible outcome of event/Total outcome of event
Probability that there will be at least two tails = 4/8
= 1/2
