a marketing manager asked two groups, group a and group b, whether they liked a new soda product. she…

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.\n|group label|yes|no|total|\n|----|----|----|----|\n|group a|16|4|20|\n|group b|17|8|25|\n|total|33|12|45|\nif a person is in group b, what is the probability that he likes the new soda?\n36%\n20%\n68%\n25%

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.\n|group label|yes|no|total|\n|----|----|----|----|\n|group a|16|4|20|\n|group b|17|8|25|\n|total|33|12|45|\nif a person is in group b, what is the probability that he likes the new soda?\n36%\n20%\n68%\n25%

Answer

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%