Analyzing Agent Selection Constraints
The problem requires selecting a group of 3 agents from four: Alpha (A), Beta (B), Gamma (G), and Delta (D). There are specific incompatibility rules:
- Alpha and Beta cannot go together (A $\not\leftrightarrow$ B).
- Beta and Gamma cannot go together (B $\not\leftrightarrow$ G).
- Gamma and Delta cannot go together (G $\not\leftrightarrow$ D).
We need to determine if a valid group of 3 can be formed under these conditions.
Evaluating Possible Group Combinations
Let's examine the possibilities by considering which agents could be part of a group of 3:
Case 1: Including Alpha (A)
If Alpha (A) is selected, Beta (B) cannot be selected. The group must consist of A and two others from {G, D}. The only remaining pair is {G, D}. However, Gamma (G) and Delta (D) are incompatible. Therefore, a group of 3 including A cannot be formed.
Case 2: Including Beta (B)
If Beta (B) is selected, Alpha (A) and Gamma (G) cannot be selected. The group must consist of B and two others from {D}. This is impossible as there is only one agent left (D). A group of 3 including B cannot be formed.
Case 3: Including Gamma (G)
If Gamma (G) is selected, Beta (B) and Delta (D) cannot be selected. The group must consist of G and two others from {A}. This is impossible as there is only one agent left (A). A group of 3 including G cannot be formed.
Case 4: Including Delta (D)
If Delta (D) is selected, Gamma (G) cannot be selected. The group must consist of D and two others from {A, B}. The only remaining pair is {A, B}. However, Alpha (A) and Beta (B) are incompatible. Therefore, a group of 3 including D cannot be formed.
Conclusion on Mission Feasibility
Since selecting any single agent prevents the formation of a compatible group of 3, it is impossible to satisfy the conditions. No combination of 3 agents can be chosen.
Important Questions from Analytical Decision Making (Notes)
_________________ psychology is a branch in which the findings of psychology are applied in the field of education.
- Prof. Murthy likes to let her students choose who their partners will be; however, no pair of students may work together for more than seven class periods in a row. Alice and Bob have worked together for seven class periods in a row. Calvin and Denny have worked together for three class periods in a row. Calvin does not want to work with Alice. Who should be assigned to work with Bob?
- In an experiment one group of subjects was asked to estimate the product of $8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$ in 5 seconds. The other group was asked to estimate the product of $1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8$ in the same time. The former group attained a larger estimate than the later group. The biasing effect involved in this case is because of
Match List-I with List-II and select the correct answer by choosing from the codes given below :
List – I
(Phenomenon)List – II
(Explanation)a. Thinking i. Process of choosing between two or more alternatives on the basis of information about them b. Reasoning ii. Processing information in various ways to move towards a desired goal c. Decision making iii. Mental activity through which we transform available information in order to reach conclusion d. Problem solving iv. An activity that involves the manipulation of mental representation of various features of the external world Match the following gases with their proportion.
Gases Percentage by volume 1. Argon (a) 0.03 2. Carbon dioxide (b) 0.0018 3. Hydrogen (c) 0.94 4. Neon (d) 0.01
