Comparing multiple representations to calculate theoretical probabilities for combined events

12 questions

1. The ___ that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
2. A trial has three possible outcomes: {A, B, C}. P(A) = {2}\over{7}. P(B) = {1}\over{7}. P(C) = {4}\over{7}. Which outcome is most likely to happen?
3. There are two trials. In Trial 1, a spinner with {A, B, C} is spun twice. In Trial 2, a spinner with {B, C} is spun twice. Which statement is true?
4. In a fair six-sided die, what is the probability of rolling a 9 and getting 'tails' in a single toss of a fair coin?
5. A coin is flipped twice. Complete the sample space ξ = {HH, HT, ___, TT}
6. When rolling a fair six sided die, which event is more likely to occur?
7. What is the probability of event A and C happening?
8. What number does 'b' represent?
9. An object chosen at random is most likely to be which of the following?
10. If one of the events below was much less likely to occur than any others, which statement would be true?
11. If each spinner is used once, what is the probability of the first spinner landing on 'A' and the second spinner not landing on '1'?
12. For a single event, what must all possibilities sum to?

License: OGL