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
(1 point)
Responses
start fraction 7 over 50 end fraction
Image with alt text: start fraction 7 over 50 end fraction
two-fifths
Image with alt text: two-fifths
one-half
Image with alt text: one-half
two-thirds
The probability that one shopper, selected at random from the 50 surveyed, preferred the color red or blue is calculated by adding the number of shoppers who preferred red and the number of shoppers who preferred blue, and then dividing by the total number of shoppers surveyed (50).
The number of shoppers who preferred red is 7, and the number of shoppers who preferred blue is 13. Therefore, the number of shoppers who preferred either red or blue is 7 + 13 = 20.
The probability is then given by:
Probability = Number of shoppers who preferred red or blue / Total number of shoppers surveyed
= 20 / 50
= 2/5
So, the probability is two-fifths.