Question

A winter resort took a poll of its 275 visitors to see which winter activities people enjoyed . The results follows : 130 liked to ski ,171 liked to snowboard , 92 liked to ski and snowboard. How many in the poll liked to ski or snowboard or both?

Answer 1

We have that the people in the poll liked to ski or snowboard or both mathematically given as

• n(AUB)=99

Probability

Where

• n=275
• ski=130
• snowboard=171

Generally the equation for the people who like both   is mathematically given as

n(AUB)=n(A)+n(B)- n(AnB)

Therefore

n(AUB)=130+171- 102

n(AUB)=99

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