Answer:
See the Venn diagram attached
Numbers given:
- Total: 100
- Either a cat of a fish: 70
- Cat: 46
- Cat and fish: 16
Neither a cat or a fish: 100 - 70 = 30
Fish: 70 - (46 + 16) = 70 - 62 = 8
Required probabilities are:
- a) P(neither) = 30/100 = 0.3
- b) P(f) = (16 + 8)/100 = 0.24
- c) P(f not c) = 8/100 = 0.08