Calculating theoretical probabilities from probability trees (two events)

12 questions

1. What is the sum of the possible events A, B and C in this probability tree?
2. In a fair six-sided die, what is the probability of rolling a 2 and getting 'tails' in a single toss of a fair coin?
3. There are two trials. In Trial 1, a spinner with {A, B} is spun twice. In Trial 2, a spinner with {B, C} is spun twice. Which statements are true?
4. What is the probability of this spinner landing on a vowel?
5. Alex believes that the likelihood of a spinner stopping on a shaded space is equal to an unshaded space. Is Alex correct?
6. How many ways are there to get a sum of 7 when adding the results of two standard six-sided dice rolls?
7. If P(A) = \frac{1}{3} and P(A and D) = \frac{1}{5}, then what is P(D)?
8. What is the error in this tree diagram?
9. What is a suitable calculation for the probability of event B occurring, and event F not occurring?
10. If the first and second event in this tree diagram were both flipping a coin once, what would be the probability of event B and event F occurring?
11. What is the least likely (but not impossible) pair of events occurring in this tree diagram?
12. Which pair of events has a more than even chance of occurring?

License: OGL