A bag contains the following prize tickets:
• 6 tickets labeled “8-ounce bottle of SLIME”
• 2 tickets labeled “4 RINGTONES”
• 8 tickets labeled “32-ounce SLUSHIE”
• 4 tickets labeled “16-ounce ICE CREAM SUNDAE”.
Each of the 190 7th grade students who passed the Math benchmark test will draw a prize ticket from the bag. The prize will be recorded for that student, then the ticket will be returned to the bag.
What is a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn?
Responses
A 76
B 38
C 104
D 114
To predict 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 and multiply it by the total number of students.
The probability of drawing a slushie ticket is 8/20 = 0.4
The probability of drawing an ice cream sundae ticket is 4/20 = 0.2
The probability of drawing either a slushie or an ice cream sundae ticket is 0.4 + 0.2 = 0.6
Therefore, the predicted number of times a slushie or an ice cream sundae prize ticket will be drawn is 0.6 * 190 = 114
The reasonable prediction is 114.
So, the answer is D) 114.