Please do these questions on Paper

1. A game consists of rolling a 4-sided number cube and then drawing a rock from a bag (the bag contains one white rock and one black rock).

a. Create an organized visual representation that shows all possible outcomes.

b. Describe the sample space.

c. After 10 trials, these are the results:

2B, 1W, 4W, 3W, 1B, 4W, 2W, 3B, 1B, 4B

Determine the experimental probability of rolling a 4.

The colors are : green, blue,blue,purple,green,purple,blue

2.Consider the spinner on the right. the spinner colours are : The colors are : green, blue,blue,purple,green,purple,blue

a.Determine the theoretical probability of landing on green.

b.Determine the theoretical probability of the complement of landing on green.

3.For two independent and non-mutually exclusive events, P(A) = 0.3 and P(B) = 0.15.

Determine P(A and B) and P(A or B).

4.You complete 10 trials of an experiment and find that the experimental probability for an event is very different from the theoretical probability for that same event. What would you expect to happen if you increased the number of trials?