The probability of winning the Jackpot, comes from the probability of the intersection between guessing all 5 white balls correctly (5 of 5) AND guessing the Powerball (PB). P(Jackpot) = P(5 of 5 n = (69) * (5) (26) G). 292201338 a. What do we know about the events "All 5 of 5" and "PB" that allows us to multiply these events to find their intersection?
b. Use the above equation as a guide to find the expression for the exact probability of winning $50000, which comes from matching 4 out of the 5 white balls and the Powerball. Show the expression. Then solve. P(4 of 5 n PB) =
c. Use the above equation as a guide to find the expression for the probability of not winning. Which comes from matching none of the white balls nor the Powerball, matching 1 white ball but not the Powerball, OR matching 2 white balls but not the Powerball Show the expression. Then solve.