[prev] 19 [next]

Exercise #2: Basic Probability

Consider Ω = {HH, HT, TH, TT}    (each outcome with probability ¼)

  1. E1 = first coin lands on heads. What is P(E1)?
  2. E2 = second coin lands on tails. What is P(E2)?
  3. Are E1,E2 independent?
  4. Probability of not (E1 and E2)?
  5. On average, how often do you have to toss the pair of coins to obtain HH or TT?