Suppose you have a ten sided dice, numbered with the number 1 through ten. You roll the die a single time.

  1. What is the probability that you will roll a 6?
  2. What is the probability that you will roll an even number?
  3. Are the events (Roll a 7) and (Roll a 10) disjoint? If so explain why.
  4. Calculate P(Roll a 7 or Roll a 10).

Bonus - extra credit

  1. Suppose you roll the ten sided die twice, each time recording the outcome. What is the probability of the event: (Roll a 3) and (Roll a 7). Note order does not matter here
  2. Again, suppose you roll the ten sided dice twice and each time record the outcome. What is the probability that the sum of your rolls is a 7?