Question

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?
Drink Survey
Drink | Number of shoppers
A | 7
B | 8
C | 10
D | 11
E | 14

A. 8/25
B. 3/10
C. 11/25
D. 7/25

Answer 1

The probability that a shopper preferred either Drink B or Drink A is the sum of the probabilities of preferring Drink B and preferring Drink A:

P(B or A) = P(B) + P(A)

From the table, we see that 8 shoppers preferred Drink B and 7 shoppers preferred Drink A.

So, P(B or A) = 8/50 + 7/50

Simplifying:

P(B or A) = 15/50

Reducing the fraction:

P(B or A) = 3/10

Therefore, the answer is B. 3/10.