In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinker

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Question: In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinkers also liked coffee, what percentage of the total respondents liked both?

Options:

Correct Answer: 24%

Solution:

If 60% prefer tea and 40% of those like coffee, then 0.6 * 0.4 = 0.24 or 24% of total respondents liked both.

In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinker

Practice Questions

In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinkers also liked coffee, what percentage of the total respondents liked both?

Questions & Step-by-Step Solutions

In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinkers also liked coffee, what percentage of the total respondents liked both?

Step 1: Understand that 60% of the respondents prefer tea. This means that if there are 100 respondents, 60 of them prefer tea.
Step 2: Know that 40% of the tea drinkers also like coffee. Since 60% prefer tea, we need to find 40% of those 60 tea drinkers.
Step 3: Calculate 40% of 60. This is done by multiplying 60 by 0.4 (which is the decimal form of 40%).
Step 4: Perform the calculation: 60 * 0.4 = 24. This means 24 respondents like both tea and coffee.
Step 5: To find the percentage of the total respondents who liked both, divide the number of respondents who like both (24) by the total number of respondents (100) and multiply by 100 to get the percentage.
Step 6: Calculate: (24 / 100) * 100 = 24%. Therefore, 24% of the total respondents liked both tea and coffee.

Percentage Calculation – Understanding how to calculate percentages based on given data.
Conditional Probability – Applying the concept of conditional probability to determine the overlap between two groups.

In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinker

What’s inside this PDF?

In a survey, 60% of respondents preferred tea over coffee. If 40% of tea drinker

Practice Questions

Questions & Step-by-Step Solutions

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