Final answer:
The game of keno and the probabilities of winning based on the spots marked involve using combinations and probability calculations. The chart to be completed would show the probabilities for eight, seven, six, five, and fewer than five winning spots when eight spots are chosen. The example provides a basic overview of how these probabilities would be computed.
Step-by-step explanation:
The game of keno involves choosing a set number of spots and winning based on how many of those spots are drawn in the game. The question is concerned with the probabilities of winning when eight spots are marked. Winning occurs if five or more spots are selected. To complete the chart for the number of winning spots, one would use combinations to calculate the likelihood of each outcome given the total number of spots and the number drawn in each game. For example, to find the probability of getting exactly five winning spots, you would calculate the number of ways to choose five spots from the eight that are marked (combinations), and then the number of ways to choose the remaining spots from those not marked.
For a winning keno chart displaying the number of winning spots (eight, seven, six, five, or fewer than five), you would list the probabilities next to each category, based on the rules of keno and the number of potential overall combinations. This involves complex calculations, and to be able to accurately complete this chart, one would need to understand the principles of probability and combinations.
For example, determining the probability of having exactly eight winning spots when eight spots are marked involves calculating the number of combinations of eight numbers chosen from the total number of numbers available in the game, and the probability of these specific combinations being drawn.