The table shows the color preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred the color red or blue?
Color Preferences
Color Number of Shoppers
Red 7
Yellow 3
Blue 13
Green 15
Orange 12
The probability of one shopper, selected at random, preferring red or blue is the sum of the probabilities of preferring red and preferring blue.
The probability of preferring red is 7/50, and the probability of preferring blue is 13/50.
So, the probability of preferring red or blue is (7/50) + (13/50) = 20/50 = 0.4 or 40%.
Therefore, the probability that one shopper, selected at random from the 50 surveyed, preferred the color red or blue is 0.4 or 40%.
To find the probability that one shopper, selected at random from the 50 surveyed, preferred the color red or blue, we need to add the number of shoppers who preferred red and the number of shoppers who preferred blue.
The number of shoppers who preferred red = 7
The number of shoppers who preferred blue = 13
Adding these numbers, we get: 7 + 13 = 20
Therefore, there are 20 shoppers who preferred either red or blue.
Now, to find the probability, we divide the number of shoppers who preferred red or blue by the total number of shoppers:
Probability = (Number of shoppers who preferred red or blue) / (Total number of shoppers)
Probability = 20 / 50
Simplifying, we get:
Probability = 2/5
Thus, the probability that one shopper, selected at random from the 50 surveyed, preferred the color red or blue is 2/5.