(Answered)-1. As an experiment: We will roll a regular die three times, and - (2025 Updated Original AI-Free Solution

Question

1. 1. As an experiment: We will roll a regular die three times, and note the number of spots facing upward on the die after each of these three rolls (order matters here). For this experiment, how many elements does the sample space contain?
2. 2. A jar contains exactly 47 marbles (22 red, 25 blue). Four marbles will be individually drawn at random from the jar (without replacement). The color of each marble will be recorded as it is drawn:
3. ??????? A. Let A = ?exactly 2 of the 4 marbles will be red?. Let B= ?exactly 2 of the 4 marbles will be blue?. These events are: complement or dependent or disjoint or none.
4. ????????B.The probability that at most three of the four marbles will be blue is between: 95% and 96% or 94% and 95% or 92% and 93% or none.
5. ??????? C. For the events defined in problem A above , P(A and B^c ) is between: 5% and 6% or 1% and 2% or 99% and 100% or none.