They are
HHT, HTH, THH and HHH.
An event is an outcome or set of outcomes of an experiment. For example, if you want a coin to land on heads when you are flipping it, and it DOES land on heads, THAT is the event. If it lands on tails, that outcome is the complement
50-50
The probability of rolling a 2 on a die before flipping a heads on a coin is 1 in 12. The probability of rolling a 2 is 1 in 6. The probability of flipping heads is 1 in 2. Since these are sequentially unrelated events, you simply multiply the probabilities together.
.5 or 1/2
They are HHT HTH and THH
The event is that the coin lands with the Heads on top.
An event is an outcome or set of outcomes of an experiment. For example, if you want a coin to land on heads when you are flipping it, and it DOES land on heads, THAT is the event. If it lands on tails, that outcome is the complement
It means that two events cover the spectrum of possible events. For instance, with respect to flipping a coin, the event of getting heads and the event of getting tails are mutually exhaustive. There is not another outcome of events possible when flipping a coin.
The sample space when flipping a coin is [heads, tails].
The probability of flipping three heads when flipping three coins is 1 in 8, or 0.125. It does not matter if the coins are flipped sequentially or simultaneously, because they are independent events.
50-50
define success and failure. Heads? or tails. What number or set of numbers do you want on the die? A compound event could be heads for the coin and all 3 die are less than 4.
Complementary events are events that are the complete opposite. The compliment of event A is everything that is not event A. For example, the complementary event of flipping heads on a coin would be flipping tails. The complementary event of rolling a 1 or a 2 on a six-sided die would be rolling a 3, 4, 5, or 6. (The probability of A compliment is equal to 1 minus the probability of A.)
There are 8 permutations of flipping a coin 3 times, or of flipping 3 coins one time. They are, with the permutations of two heads bolded...TTTTTHTHTTHHHTTHTHHHTHHH... thus, the probability of flipping a coin 3 times and getting 2 heads is 3 in 8, or 0.375.
1 heads in a row
The probabilty of you flipping 3 coins and getting all heads or tails is 0.125 or 1/8.
The probability of rolling a 2 on a die before flipping a heads on a coin is 1 in 12. The probability of rolling a 2 is 1 in 6. The probability of flipping heads is 1 in 2. Since these are sequentially unrelated events, you simply multiply the probabilities together.