Answer Happy

A biased coin is tossed one hundred times and is observed to
land with heads facing up 62 times.
(a) Estimate the probability that it would land with tails facing
up if it were tossed one more time.
(b) The coin is tossed twice. Draw a labelled probability
tree.
(c) What is the probability that the coin will land on two heads in
a row when it is tossed twice?
(d) Consider the two events A and B:
Event A: The coin will land on the same face when it is tossed
twice.
Event B: At least one of the two tosses lands with heads facing
up.
i. Calculate P(A).
ii. Calculate P(B).
iii. Hence, determine whether the 2 events A and B are
independent.
(3 marks)
iv. Calculate P(AjB).