Math Ex. (S4)

Please to slove the following question.

1. Maggie answers three true-or-false questions randomly.
a) List out all the possible outcomes
b) Find the probability that
i) she answers at least one of the three questions correctly,
ii) she answers the seco9nd question correctly but the third
question wrongly.

2. A bag contains two $2 coins, two $1 coins and one $5 coin. Jason draws
two coins at randow from the bag.
a) List all possible outcomes of the total values of the coins drawn.
b) Jason wants to buy soft drink(s) which costs $5.5 per can from a
vending machine. He uses the two coins randomly drawn from the
bag to buy the maximum number of cans of soft drink(s).
Find the probability that he buys
i) 2 cans of soft drink,
ii) 1 can of soft drink