Question

2. Ron’s Joke Store offers a coin that is supposed to be weighted toward heads. Caitlin tries out one of these coins.

Answer 1

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.