1. What is the probability when an event cannot occur?
2. How many outcomes are possible when a die is rolled?
3. A 25-centavo coin is tossed six times. How many distinct results are possible?
4. If a cube is thrown once, what is the probability of getting an odd number?
5. Roll a pair of dice. What is the probability that the sum of two numbers is 11?
6. If a letter is selected at random from the word "TRANSFORMATION", what is the probability that it is "N"?
7. In a pet store, there are 6 puppies, 9 kittens, 4 rabbits and 7 birds. If a pet is chosen at random, what is the probability of choosing a puppy or a bird?
8. Ticket numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is multiple of 3 or 6?
9. A jar contains 6 red, 5 blue, 3 green and 2 yellow marbles. A marble is chosen at random from the jar. What is the probability of choosing a green or yellow marble?
10. A card is randomly selected from a pack of standard playing cards (without any joker).

Determine the probability of drawing:

1. a heart
2. a king
3. a king or queen
4. a red card or a black card
5. a joker
6. not a club

DISCRETE or CONTINUOUS.

1. height of 100 students
2. hours spent answering a test
3. number of diamonds in a deck of card
4. number of doubles in a roll of two dice
5. time to finish race

6. Give the range space, list of possible outcomes, and the total outcomes of the following event.

• Two coins are tossed, and the random variable Z gives the number of tails.
• A die is rolled once, and the random variable X gives the number of even numbers appeared.

7. Throw a single die and let the random variable X be the number on the die. Construct the probability distribution table, compute for the mean, variance, and standard deviation.