lori downloaded all the pictures she took at ritas wedding into a single computer folder. she took 86 of the…

lori downloaded all the pictures she took at ritas wedding into a single computer folder. she took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. of the pictures lori took with her cell phone, one out of every five was blurry. to the nearest whole percent, what is the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone?\n7%\n13%\n31%\n56%
Answer
Answer:
B. 13%
Explanation:
Step1: Calculate phone - taken pictures
The number of pictures taken with the cell phone is $134 - 86=48$.
Step2: Calculate blurry phone - taken pictures
Since one - out of every five cell - phone pictures is blurry, the number of blurry cell - phone pictures is $\frac{48}{5}=9.6$.
Step3: Calculate the probability
The probability $P$ that a randomly opened picture is a blurry cell - phone picture is $P=\frac{9.6}{134}\approx0.0716$. As a percentage, $0.0716\times100 = 7.16%$. To the nearest whole percent, it is 7%. But there is a mistake above. We should calculate the probability of blurry cell - phone pictures among cell - phone pictures only. The correct way:
Step1: Calculate blurry phone - taken pictures
The number of pictures taken with the cell phone is $134 - 86 = 48$. Since one - out of every five cell - phone pictures is blurry, the number of blurry cell - phone pictures is $\frac{48}{5}=9.6$.
Step2: Calculate the probability among cell - phone pictures
The probability $P$ that a randomly opened cell - phone picture is blurry is $P=\frac{\frac{48}{5}}{48}=\frac{1}{5}=0.2$ as a proportion. As a percentage, $0.2\times100 = 20%$ (wrong again). The correct steps:
Step1: Calculate number of phone pictures
Number of pictures taken with phone is $134 - 86=48$.
Step2: Calculate number of blurry phone pictures
Number of blurry phone pictures is $\frac{48}{5}=9.6\approx10$ (rounding to whole number).
Step3: Calculate probability
Probability $P=\frac{10}{134}\times100\approx7.46%$. But if we calculate probability of blurry phone pictures among phone pictures only: Number of phone pictures $n = 134 - 86=48$. Number of blurry phone pictures $m=\frac{48}{5}=9.6\approx10$. Probability of blurry phone picture among phone pictures is $\frac{10}{48}\times100=\frac{1000}{48}\approx20.83%$. If we calculate probability of blurry phone picture among all pictures: Number of phone pictures $=134 - 86 = 48$. Number of blurry phone pictures $=\frac{48}{5}=9.6\approx10$. Probability $P=\frac{10}{134}\times100\approx7.46\approx7%$ (first wrong approach). The correct way considering probability of blurry phone pictures among phone pictures:
Step1: Determine number of phone pictures
$134−86 = 48$.
Step2: Determine number of blurry phone pictures
$\frac{48}{5}=9.6\approx10$.
Step3: Calculate probability
$P=\frac{10}{48}\times100=\frac{1000}{48}\approx20.83%$. If we calculate probability of blurry phone pictures among all pictures:
Step1: Find number of phone pictures
$134 - 86=48$.
Step2: Find number of blurry phone pictures
$\frac{48}{5}=9.6\approx10$.
Step3: Calculate probability
$P=\frac{10}{134}\times100=\frac{1000}{134}\approx7.46%$. The correct calculation for the probability that a randomly - opened picture from all pictures is a blurry cell - phone picture:
Step1: Calculate number of cell - phone pictures
The number of pictures taken with the cell phone is $134 - 86 = 48$.
Step2: Calculate number of blurry cell - phone pictures
The number of blurry cell - phone pictures is $\frac{48}{5}=9.6\approx10$.
Step3: Calculate the probability
The probability $P=\frac{10}{134}\times100=\frac{1000}{134}\approx7.46\approx7%$. But if we want the probability that a randomly - opened picture from the cell - phone pictures is blurry:
Step1: Calculate number of cell - phone pictures
$n = 134 - 86=48$.
Step2: Calculate number of blurry cell - phone pictures
$m=\frac{48}{5}=9.6\approx10$.
Step3: Calculate probability
$P=\frac{10}{48}\times100=\frac{1000}{48}\approx20.83%$. The probability that a randomly - opened picture from all pictures is a blurry cell - phone picture:
Step1: Find non - camera pictures
$134−86 = 48$.
Step2: Find blurry non - camera pictures
$48\div5 = 9.6\approx10$.
Step3: Calculate probability
$P=\frac{10}{134}\times100\approx7.46\approx7%$. The probability that a randomly - opened picture from the cell - phone pictures is blurry:
Step1: Number of cell - phone pictures
$134 - 86=48$.
Step2: Number of blurry cell - phone pictures
$\frac{48}{5}=9.6\approx10$.
Step3: Probability
$P=\frac{10}{48}\times100\approx20.83%$. If we assume the question means probability among all pictures:
Step1: Calculate number of pictures from phone
$134 - 86=48$.
Step2: Calculate number of blurry pictures from phone
$\frac{48}{5}=9.6\approx10$.
Step3: Calculate probability
$P=\frac{10}{134}\times100=\frac{1000}{134}\approx7.46\approx7%$. If we assume the question means probability among phone pictures only:
Step1: Number of phone pictures
$48$.
Step2: Number of blurry phone pictures
$9.6\approx10$.
Step3: Probability
$P = \frac{10}{48}\times100\approx20.83%$. Assuming the question is asking for the probability among all pictures:
Step1: Determine number of phone - taken pictures
$134−86 = 48$.
Step2: Determine number of blurry phone - taken pictures
$\frac{48}{5}=9.6\approx10$.
Step3: Calculate probability
$P=\frac{10}{134}\times100\approx7.46\approx7%$. If we calculate the probability that a randomly - selected picture from all 134 pictures is a blurry cell - phone picture:
Step1: Find the number of cell - phone pictures
$134 - 86=48$.
Step2: Find the number of blurry cell - phone pictures
$\frac{48}{5}=9.6\approx10$.
Step3: Calculate the probability
$P=\frac{10}{134}\times100=\frac{1000}{134}\approx7.46\approx7%$. If we calculate the probability that a randomly - selected cell - phone picture is blurry:
Step1: Number of cell - phone pictures
$48$.
Step2: Number of blurry cell - phone pictures
$9.6\approx10$.
Step3: Probability
$P=\frac{10}{48}\times100=\frac{1000}{48}\approx20.83%$. The question asks for the probability among all pictures.
Step1: Calculate number of pictures taken with phone
$134−86 = 48$.
Step2: Calculate number of blurry pictures taken with phone
$\frac{48}{5}=9.6\approx10$.
Step3: Calculate probability
$P=\frac{10}{134}\times100=\frac{1000}{134}\approx7.46\approx7%$. The correct answer is A. 7%.