A survey of a group’s viewing habits over the last year revealed the following information:
(i) 28% watched gymnastics
(ii) 29% watched baseball
(iii) 19% watched soccer
(iv) 14% watched gymnastics and baseball
(v) 12% watched baseball and soccer
(vi) 10% watched gymnastics and soccer
(vii) 8% watched all three sports.
Calculate the percentage of the group that watched none of the three sports
during the last year

0.52

Step-by-step explanation:

The computation of the percentage of the group in which none of the three sports watched is shown below:

= gymnastic percentage + baseball percentage + soccer percentage - gymnastic & baseball percentage - baseball & soccer percentage - gymnastic & soccer percentage + three sports percentage

= 0.28 + 0.29 + 0.19 - 0.14 - 0.12 - 0.18 + 0.08

= 0.48

Now the percentage is

= 1 - 0.48

= 0.52

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