Question 1
Three fair coins are tossed and either heads (H) or tails (T) is observed for each coin.
a.
List the sample points for this experiment.
b.
Assign probabilities to the sample points.
c.
Find the probability of the event
A = {Three heads are observed}.
d.
Find the probability of the event
B = {Exactly two heads are observed}.
e.
Find the probability of the event
C = {At least two heads are observed}.
Question 2
Two chips are drawn at random and without replacement from a bag containing three blue chips and one red chip.
a.
List the sample points for this experiment.
b.
Assign probabilities to the sample points.
c.
Find the probability of the event
A = {Two blue chips are drawn}.
d.
Find the probability of the event
B = {A blue chip and a red chip are drawn}.
e.
Find the probability of the event
C = {Two red chips are drawn}.