50 points
1. if the probability of an event is 0.3, what is the probability of its complement?

2. hannah wants to know what the probability is that a card drawn randomly from a deck will be a jack. her sample space includes all 52 cards in a standard deck. which of these outcomes compose the event?

3. kristy wants to know what the probability is that a card drawn randomly from a deck will be a club. her sample space includes all 52 cards in a standard deck. which of these outcomes compose the event?

4. parts 1-4

1. use an appropriate technology to simulate 35 rolls of a six-sided number cube. report your results.
2. according to this data, what is the experimental probability of a roll of 3?
3. what is the theoretical probability that a roll of the number cube will yield a result of 3?
4. explain any differences between the theoretical probability and the experimental probability.

5. parts 1-4
1. use an appropriate technology to simulate 2 cards being drawn from a 52-card deck of playing cards. do not return the first card to the deck before drawing the second card. perform 30 trials of this experiment.
2. according to this data, what is the experimental probability that one card will be red and the other will be black?
3. what is the theoretical probability that one card will be red and the other will be black?
4. explain any differences between the theoretical probability and the experimental probability.

6. diana has a bag with 20 marbles in it. some of the marbles are blue, some are green, and some are yellow.

she draws one marble at random, records the color, and returns it to the bag.

here is her data after 1000 trials:

blue: 36
green: 99
yellow: 865

estimate the probability that a marble drawn at random will be blue.
estimate the probability that a marble drawn at random will be green.
estimate the probability that a marble drawn at random will be yellow.
express each probability estimate as a fraction with 20 in the denominator.