A survey was conducted to study the preferences of two beverages, namely tea and

Question

A survey was conducted to study the preferences of two beverages, namely tea and coffee, among the 1000 students of a university. It was found out that 80 % of coffee drinkers do not drink tea, suggesting that tea was highly unpopular among those who drink coffee. In which of the following scenarios would tea be necessarily more popular among those who do not drink coffee, i.e. P(Tea| Not Coffee) > P(Not Tea| Not Coffee)? Justify with a brief explanation.

90 % of total population are coffee-drinkers.

90 % of total population are tea-drinkers.

90 % of total population do not drink coffee.

Can’t say certainly due to lack of information.

Explanation / Answer

90 % of total population are tea-drinkers.

Here, the 90% of total population are tea-drinkers. Hence 20% of those 90 % are tea and cofee and rest 80% of those 90% are tea and not cofee. Thus it will be more than P(not tea|not cofee).

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