An eight sided die, which may not be a fair die, has four colors on it; you have
ID: 3269143 • Letter: A
Question
An eight sided die, which may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a purple on your next toss of the die? Express your answer as a simplified fraction or a decimal rounded to four decimal places. Pink 42, Yellow 51, Purple 43, Red 38.
The following data represent the proces in dollars of general admission tickets for the last 18 concerts at one venue. Use the given data to determine the stems for this stem and leaf plot.
$71,$48,$60,$57,$47,$71,$61,$68,$68,$44,$73,$49,$78,$43,$72,$52,$45,$75.
Stem Leaves
___ 3 4 5 7 8 9
___ 2 7
___ 0 1 8 8
___ 1 1 2 3 5 8
Explanation / Answer
As we have been given the data for rolls as:
Pink 42, Yellow 51, Purple 43, Red 38.
Then the probability of getting purple on the next toss would be computed as:
= Number of times purple came / Total number of times the tosses were made
= 43 / (42 + 51 + 43 + 38)
= 43 / 174
= 0.2471
Therefore 0.2471 is the required probability here.
Now completing the stem and leaf diagram:
Stem Leaves
___ 3 4 5 7 8 9
___ 2 7
___ 0 1 8 8
___ 1 1 2 3 5 8
We clearly see from the given 18 concert values, there are 6 values with 4 as the ten's digit. These are:
43, 44, 45, 47, 48, 49
This is equivalent to the first row of the stem and leaf diagram.
therefore the stem of the first row would be 4.
similarly the stem of the second row would be 5.
similarly, stem of the third row would be 6
similarly, stem of the fourth row would be 7
Therefore the stem and leaf diagram would look like:
Stem Leaves
4 3 4 5 7 8 9
5 2 7
6 0 1 8 8
7 1 1 2 3 5 8
Key: 5 | 2 = 52
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