Answer:
a) P = 0.125
b) It is not necessarily true
Step-by-step explanation:
a. If the coin was fair, the probability of obtaining head would be 0.5, and each launch of the coin would be an independent event.
Remember that if two events A and B are independent, then:
P(A∩B) = P(A)P(B)
Therefore, the probability that Caitlin would get heads on all three flips is:
P(A∩A∩A) = P(A)P(A)P(A) = 0.5*0.5*0.5 = 0.125
b) It is not necessarily true, because there exist a probability associated to this event and it means that this situation can occur although the coin was fair.
