Question 14 Direction: Study the information given below and answer the question that follows.
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Question 14
Direction: Study the information given below and answer the question that follows.
Seven graduate students – Isha (I), Jay (J), Kiran (K), Lina (L), Mohan (M), Nina (N), and Omar (O) – must be split into exactly three research teams.
Team Information:
| Team | Required size |
|---|---|
| Group P | exactly 3 students |
| Group Q | exactly 2 students |
| Group R | exactly 2 students |
Every student joins one and only one team.
Constraints:
- Isha and Jay must be in different groups
- Kiran cannot be in Group P
- Nina must be in Group P
- Mohan and Omar cannot be in the same group
- Group Q must contain exactly one of Lina or Mohan – but not both
- If Lina is placed in Group P, then Jay must be placed in Group Q
- Omar cannot be placed in Group P
What is the probability that Omar is assigned to Group R in a randomly chosen valid assignment?
Show answer & explanation
Answer: A. A) 0.57
Standard evaluation according to engineering and computational science principles.
Step-by-step Derivation:
Step 1: Analyze problem specification.
Step 2: Derive theoretical solution.
Step 3: Select corresponding answer option.