Question

the results are shown in the two-way table.

if a random customer prefers online shopping, what is the approximate conditional probability that they dont prefer in-store shopping?

0.68
0.50
0.40
0.32

Explanation:

Identify the given condition and target event

The condition is that the customer "prefers online shopping."
The target event is that they "don't prefer in-store shopping."

Extract values from the two-way table

The total number of customers who prefer online shopping is \(125\).
Among those who prefer online shopping, the number of customers who do not prefer in-store shopping is \(40\).

Calculate the conditional probability

$$ P(\text{Does Not Prefer In-Store} \mid \text{Prefers Online}) = \frac{40}{125} = 0.32 $$

Answer:

• 0.68
• 0.50
• 0.40
• 0.32 (Correct answer)