The table shows the drink preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred either Drink B or Drink A?
To calculate the probability that one shopper, selected at random from the 50 surveyed, preferred either Drink B or Drink A, we first need to know the number of shoppers who preferred each drink.
Once we have this information, we can use the formula for probability:
Probability = (Number of Desired Outcomes) / (Total Number of Possible Outcomes)
Let's say we have the following information about the drink preferences of the 50 shoppers:
Drink A: 20 shoppers preferred it
Drink B: 15 shoppers preferred it
Drink C: 10 shoppers preferred it
Drink D: 5 shoppers preferred it
In this case, the number of shoppers who preferred either Drink B or Drink A would be the sum of those who preferred each of those drinks:
Number of shoppers who preferred Drink B or Drink A = Number of shoppers who preferred Drink B + Number of shoppers who preferred Drink A
= 15 + 20
= 35
Therefore, the total number of possible outcomes is the total number of shoppers surveyed, which is given as 50.
Now, we can calculate the probability:
Probability = (Number of Desired Outcomes) / (Total Number of Possible Outcomes)
= (Number of shoppers who preferred Drink B or Drink A) / (Total number of shoppers surveyed)
= 35 / 50
= 0.7
So, the probability that one shopper, selected at random from the 50 surveyed, preferred either Drink B or Drink A is 0.7 or 70%.