Question

a marketing manager asked two groups, group a and group b, whether they liked a new soda product. she recorded the data in a two - way table.

group label	yes	no	total
group b	17	8	25
total	33	12	45

if a person is in group b, what is the probability that he likes the new soda?
36%
20%
68%
25%

Explanation:

Step1: Identify relevant values

We want the probability of liking the soda given in Group B. The number of people in Group B who like the soda is 17, and the total number of people in Group B is 25.

Step2: Calculate probability

The probability formula for conditional - probability in this case is $P(\text{like}|\text{Group B})=\frac{\text{Number of people in Group B who like}}{\text{Total number of people in Group B}}$. So $P=\frac{17}{25}$.

Step3: Convert to percentage

To convert $\frac{17}{25}$ to a percentage, we use the formula $\frac{17}{25}\times100\%$. Since $\frac{17}{25}\times100 = 17\times4=68\%$.

Answer:

68%