a company makes 100 bags
35 of the bags have buttons no zips
34 of the bag have zips no buttons
27 of the bags have neither zips or buttons
a bag is selected at random
what is the probablity the bag has buttons?
If there are x bags with both buttons and zips, then
34+35+x = 100-27
P(buttons) = (35+x)/100
35 + 34 + 27 = 96
What happened to the other 4?
35/100 = 7/20
To find the probability that the selected bag has buttons, we need to divide the number of bags with buttons by the total number of bags.
Given information:
Total bags = 100
Bags with buttons = 35
Probability of selecting a bag with buttons = (Number of bags with buttons) / (Total number of bags)
Therefore, the probability that the bag has buttons is:
Probability = (35 bags with buttons) / (100 total bags)
Probability = 35/100
Simplifying the fraction, we get:
Probability = 7/20
So, the probability that the selected bag has buttons is 7/20.