In: Statistics and Probability
1)Design the sample space for an experiment where you will flip three coins into the air, first one, then the second, and finally the third to examine the faces landing upwards. Use the sample space to answer the questions that follow. Probabilities should be expressed as decimals.
A) Please identify the sample space for this experiment.
B) What is the probability of at least one head showing?
C) What is the probability of exactly one tail showing?
D) What is the probability of all three coins matching?
E) What is the probability of a tail showing from the first flip, a head showing on the second flip? (either result on the third flip is included)