1. A roulette wheel has 38 slots around the rim. The first 36 slots are numbers from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. If the roulette wheel is spun 76 times, predict about how many times the ball will land on green or black.
The ball will land on green or black about?
2. A box contains 4 white balls, 8 black balls, and 2 red balls.
a) How many red balls must be added to the box so that the probability of drawing a red ball is 3/4?
b) How many black balls must be added to the original box so that the probability of drawing a white ball is 1/4?
3. In the game of "Between," two cards are dealt from a standard deck and not replaced. You then pick a third card from the deck. To win, you must pick a card that has a value between the other two cards. The order of values is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A, where the letters represent a jack, queen, king, and ace, respectively. Determine the probability of your winning if the first two cards dealt are a 9 and a queen.