1a )You start a new country, and you plan to have all vehicles have a license plate with only letters of the Cyrillic alphabet, which has 33 letters. Your new country has a population of 6.1 million drivers, who you expect will each drive one vehicle. What is the minimum number of letters needed for your license plate to accommodate this number? (Provide a numeric answer)

b)The probability that a given vehicle will be in a car crash is (hypothetically) 0.03 and the probability that a given vehicle will be speeding is 0.34. Finally, the probably that a vehicle is speeding, and crashes is 0.028. Given the formula P(H | E)= P(H E)/P(E), what is the probability that a car was speeding, given that it was in an accident? (Present as a proportion; round to three decimal places)