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)
start fraction 7 over 50 end fraction
two-fifths
one-half
two-thirds
The probability that one shopper, selected at random from the 50 surveyed, preferred the color red or blue is:
Number of shoppers who preferred red or blue = 7 + 13 = 20
Probability = Number of shoppers who preferred red or blue / Total number of shoppers surveyed
Probability = 20/50 = start fraction 2 over 5 end fraction
Therefore, the answer is: start fraction 2 over 5 end fraction
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, and then divide it by the total number of shoppers (50).
The number of shoppers who preferred red is 7, and the number of shoppers who preferred blue is 13. Adding these numbers, we have 7 + 13 = 20.
Therefore, the probability of selecting a shopper who preferred red or blue is 20/50.
Simplifying this fraction, we get 2/5.
Thus, the correct answer is two-fifths.