Ten playing cards numbered 1, 2, 3, …., 10 are placed face down on a table. One
card is drawn at random, its number recorded, and then replaced face down. A
card is drawn again at random. The probability that the number on the second
draw is greater than the number on the first draw (rounded off to two decimal
places) is ___________.
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2023 Q.61)**
**1. Governing Concept & Domain**:
This question evaluates **Engineering Mathematics** under *Section 1: Engineering Mathematics* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Engineering Mathematics})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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