Suppose the two joker cards are left in a standard deck of cards. One of the jokers is red and the other is black. A single card is drawn from the deck of 54 cards, returned, and then a second card is drawn. Determine the probability of drawing: one of the jokers on the first draw and an ace on the second b) the red joker on the second draw and a numbered card of any suit on the first c) a queen on both draws d) any black card on both draws e) any numbered card less than 10 on the first draw and a card with the same number on the second A paper bag contains a mixture of 3 types of candy. There are ten chocolate bars, seven fruit bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag. replaced, and then a second candy is drawn from the bag. If you are allowed to keep the second candy only if it was the same type as the one that was drawn the first time, calculate the probability of each of the following: a) you will be able to keep a chocolate bar b) you well be able to keep any candy c) you won't be able to keep any candy A coin is tossed and a standard six-sided die is rolled. a) How many different outcomes are possible? b) What is the probability of flipping tails and rolling a number greater than 4?