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Question
predicting the future - part i
after looking over your calendar for the first semester, you notice that your teacher gave pop quizzes on 75% of all mondays. you decide to run a simulation to predict the pop quizzes for this semester.
11 08 43 99 48 74
86 93 95 24 78 33
70 61 30 19 86 54
each 2 - digit number represents whether a quiz is given on a monday.
00 to 74 represent mondays when a quiz is given.
- according to the simulation, on how many mondays will the teacher give pop quizzes over the next semester (18 classes)?
o 12 out of 18 times, or 66.7%
o 6 out of 18 times, or 33.3%
o 14 out of 18 times, or 77.8%
o 13 out of 18 times, or 72.2%
2 of 3 submit
Step1: Identify valid numbers
Numbers from 00 - 74 represent Mondays with quizzes. We have 18 two - digit numbers: 11, 08, 43, 99, 48, 74, 86, 93, 95, 24, 78, 33, 70, 61, 30, 19, 86, 54.
Step2: Count valid numbers
Count the numbers in the range 00 - 74. The valid numbers are 11, 08, 43, 48, 74, 24, 33, 70, 61, 30, 19, 54. There are 12 such numbers.
Step3: Calculate percentage
The percentage is $\frac{12}{18}\times100\%\approx66.7\%$
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12 out of 18 times, or 66.7%