The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a BLUE skittle is pulled from a bag of skittles? (round to the nearest hundredth)
Responses
A 0.150.15
B 0.210.21
C 0.180.18
D 0.12
B 0.21
how and why
To find the approximate probability of pulling a blue skittle, we need to divide the number of blue skittles by the total number of skittles in the bag.
According to the table, there are 45 blue skittles out of a total of 215 skittles in the bag.
So, the probability of pulling a blue skittle is:
45/215 ≈ 0.2093 ≈ 0.21 (rounded to the nearest hundredth)
Therefore, the answer is B) 0.21.
To determine the approximate probability of pulling a blue skittle from the bag, we need to calculate the ratio of the number of blue skittles to the total number of skittles in the bag.
Looking at the given options, we can see that the frequency for blue skittles is not directly provided. Instead, we have the frequencies for other colors of skittles.
To calculate the approximate probability, we can add up the frequencies of all the colors except blue and subtract that total from the total number of skittles. Then, we divide the frequency of blue skittles by the total.
Let's calculate it step by step:
1. Add up the frequencies of all the colors except blue:
Total frequency = frequency of color A + frequency of color C + frequency of color D
2. Subtract the total frequency from the total number of skittles:
Total number of skittles = frequency of color A + frequency of color B + frequency of color C + frequency of color D
Number of blue skittles = Total number of skittles - Total frequency
3. Divide the frequency of blue skittles by the total number of skittles:
Probability of pulling a blue skittle ≈ Number of blue skittles / Total number of skittles
Based on the given options, we do not have direct access to the frequencies to perform these calculations. Therefore, we would need the actual numbers in order to determine the approximate probability of pulling a blue skittle from the bag of skittles.