Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Set Theory & Algebra Boolean Algebra
Comprehension Passage
Next five questions are based on the following passage.
Consider a domain consisting of three Boolean variables Toothache, Cavity, and Catch. The full joint distribution is a 2 × 2 × 2 table as shown in the figure below.
| toothache | ￢toothache | |||
| catch | ￢catch | catch | ￢catch | |
| cavity | 0.108 | 0.012 | 0.072 | 0.008 |
| ￢cavity | 0.016 | 0.064 | 0.144 | 0.576 |
The probability of a toothache, given evidence of a cavity, P(toothache | cavity) is ________.
1
0.400
2
0.600
3
0.280
4
0.216