Question

Suppose that among a group of sports enthusiasts, 50 reported they enjoyed watching synchronized boxing, 40 reported enjoying extreme knitting. further, when queried again, 20 of these reported that they enjoyed watching both activities.

How many sports enthusiasts enjoy watching synchronized boxing or extreme knitting?

Answer 1

70 sports enthusiasts enjoy watching synchronized boxing or extreme knitting.

Explanation:

We are given the following in the question:

Number of people who enjoyed watching synchronized boxing = 50

Number of people who enjoyed extreme knitting = 40

Number of people who enjoyed both activities = 20

We have to find the number of sports enthusiasts enjoy watching synchronized boxing or extreme knitting.

Formula:

`n(A\cup B) = n(A) + n(B) - n(A\cap B)`

Putting the values, we get,

`n(A\cup B) = 50 + 40 - 20 = 70`

Thus, 70 sports enthusiasts enjoy watching synchronized boxing or extreme knitting.