The diagram shows the survey on a sample of 197 persons with reference to their preferences for three seasons that is winter, summer, and spring. 120 persons like spring season, 100 like Winter Season, and 90 like summer season. 50 persons like both spring and winter season only, 25 like both summer and winter season only, and 18 like both spring and summer season only. 10 persons like all three seasons. How many persons like only the winter season?

The diagram shows the survey on a sample of 197 persons with reference to their preferences for three seasons that is winter, summer, and spring. 120 persons like spring season, 100 like Winter Season, and 90 like summer season. 50 persons like both spring and winter season only, 25 like both summer and winter season only, and 18 like both spring and summer season only. 10 persons like all three seasons. How many persons like only the winter season? Correct Answer 15

Venn diagram for the above case can be drawn as:

Number of persons like spring season = 120

Number of persons like winter season = 100

Number of persons like summer season = 90

Number of persons like both spring and summer season only = 18

Number of persons like both spring and winter season only= 50

Number of persons like both winter and summer season only= 25

Number of persons like all three season = 10

So, Number of persons liking only winter season = 100 - 50 - 25 – 10 = 15

Related Questions

In a test of differences between proportions, two samples are taken. In the first sample, a sample size of 100 shows 25 successes. In the second sample, a sample size of 80 shows 25 successes. What would be the value of B in this case?