The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a YELLOW skittle is pulled from a bag of skittles? (round to the nearest hundredth)
Responses
A 0.210.21
B 0.120.12
C 0.180.18
D 0.15
C 0.18
why
The frequency of yellow skittles is 18 out of 100, which means that there are 18 yellow skittles in a bag of 100 skittles. To calculate the probability of pulling a yellow skittle, we divide the number of yellow skittles by the total number of skittles:
P(Yellow) = Number of Yellow Skittles / Total Number of Skittles = 18/100 = 0.18
Therefore, the approximate probability of pulling a yellow skittle from a bag of skittles is 0.18 or 18%.
To calculate the probability of pulling a YELLOW skittle from the bag, we need to find the frequency of YELLOW skittles and divide it by the total number of skittles in the bag.
Looking at the table, we can see that the frequency of YELLOW skittles is 7.
To find the total number of skittles in the bag, we need to sum up the frequencies of all the colors:
Total number of skittles = 7 + 9 + 4 + 10 + 3 + 3 + 7 = 43
Now, we can calculate the probability of pulling a YELLOW skittle:
Probability of pulling a YELLOW skittle = Frequency of YELLOW skittles / Total number of skittles
= 7 / 43
≈ 0.163
Rounding to the nearest hundredth, the approximate probability of pulling a YELLOW skittle from the bag of skittles is 0.16.
So, the correct response is D: 0.15.