The experimental probability of rolling a 4 on a single die was obtained by rolling the die 100 times and obtaining 24 4s. What is the numerical difference between this experi- mental probability and the theoretical probability of roll- ing a 4 when the die is tossed once? A card is selected from an ordinary deck of 52 cards. Find the probabilities of the following events. a. Red card b. Face card c. Red card or a 10 d. Queen e. Not a queen f. Face card or a club g. Face card and a club h. Not a face card and not a club In Sentinel High School, there are 350 freshmen, 320 soph- omores, 310 juniors, and 400 seniors. If a student is chosen at random from the student body to represent the school, what is the probability of the event that the chosen student is a freshman? Decide whether each of the following pairs of events are mutually exclusive or not mutually exclusive when draw- ing one card from a standard deck of 52 cards: a. The card is red and the card is black. b. The card is an even number and the card is a prime number. Zoe is playing a game in which she draws one ball from one of the boxes shown. She wins if she draws a white ball from either box #1 or box #2. She says that in order to maximize her chances of winning she will always pick box #2 because it has more white balls. Is she correct? Why?