To find a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn, we need to calculate the probability of drawing a slushie or an ice cream sundae ticket.
In order to do this, we can find the probability of drawing a slushie ticket and the probability of drawing an ice cream sundae ticket separately, and then add those probabilities together.
The probability of drawing a slushie ticket can be calculated by dividing the number of slushie tickets by the total number of tickets:
Probability of drawing a slushie ticket = Number of slushie tickets / Total number of tickets
= 8 / 20
= 0.4
Similarly, the probability of drawing an ice cream sundae ticket can be calculated as:
Probability of drawing an ice cream sundae ticket = Number of ice cream sundae tickets / Total number of tickets
= 4 / 20
= 0.2
Now, to find the probability of drawing either a slushie or an ice cream sundae ticket, we can add these probabilities together:
Probability of drawing a slushie or an ice cream sundae ticket = Probability of drawing a slushie ticket + Probability of drawing an ice cream sundae ticket
= 0.4 + 0.2
= 0.6
Therefore, a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn can be calculated by multiplying the total number of students by the probability of drawing a slushie or an ice cream sundae ticket:
Number of times a slushie or an ice cream sundae prize ticket will be drawn = Total number of students * Probability of drawing a slushie or an ice cream sundae ticket
= 190 * 0.6
= 114
So, the reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn is 114.
Therefore, the answer is D) 114114.