Let A denote the event of placing a $1 straight bet on a certain lottery and winning. Suppose that, for this particular lottery, there are 4,320 different ways that you can select the four digits (with repetition allowed) in this lottery, and only one of those four-digit numbers will be the winner. What is the value of P(A)? What is the value of P(Ā)?

PrtSc FIZ Insert Delete H + 5. Astandard (fair, well-shuffled) deck of playing cards is cut, the aut card recorded and not returned, and then the deck is again cut and the cut card recorded. Let be the event that the first card was a royal card (so King, Queen, or Jack) and let be the event that the second card was an odd number card (so).,S, 7, cr Find. PCE) Find. P (F) a. b. Find. PC Eand F) Find. PC FIE Are events and independent or dependent? Are events and mutually exclusive? С. d. e. f. inalo omrd is omlected from a well-shuffled deck of 52 playing cards. Let be

10

What is conditional probability? If we know that P(A) = 1/2 , that P(An B) = 1/4, and that P(A|B) = 3/4 , what is P(B) ? Write your answer as a fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and denominator but you do not need to do this.