1. Three fair dices were rolled.
(a) How many possible outcomes there will be, if the number in eachdice was recorded and the order of dices are considered.
(b) How many possible outcomes there will be, if the sum of thedices are recorded.
(c) What is the probability of getting a result with the sum of thethree dices exactly equals to 6?
(d) What is the probability of getting a result with the sum of thethree dices less than 6?
2. Seven fair coins were flipped andthere outcomes of each coin (head or tail)were recorded.
(a) How many possible outcomes there will be, if the order of coinsare considered?
(b) How many possible outcomes with exactly 3 heads(and 4tails)?
(c) What is the probability of getting a result with exactly 3heads (and 4 tails)?
(d) What is the probability of getting a result with less than 2head(and more than 5 tails)?
