cat 2024 quant slot 1

deltin55 · 2025-11-13 19:03:23

Title: CAT 2024 Quant Slot 1: Solving "Lucky Draw" Probability Game

Problem Statement (Hypothetical Example):

In the "Lucky Draw" game, players randomly pick 3 numbers from 1 to 10 (with replacement). A prize is awarded if at least two numbers are the same. What is the probability of winning?

Solution:

Total Possible Outcomes:

Since numbers are picked with replacement, each selection has 10 choices. Total outcomes = (10 \times 10 \times 10 = 1000).

Unfavorable Outcomes (No Repeats):

Calculate the probability of all three numbers being distinct:

[
\frac{10}{10} \times \frac{9}{10} \times \frac{8}{10} = \frac{720}{1000} = 0.72
]

Winning Probability (Complementary Event):

Subtract the unfavorable probability from 1:

[
P(\text{Win}) = 1 - 0.72 = 0.28 \quad \text{(or 28%)}
]

Key Takeaways for CAT 2024 Quant Slot 1:

Probability Shortcuts: Use complementary probability to simplify calculations (e.g., "at least two same" → (1 - P(\text{all distinct}))).
With/Without Replacement: Always clarify if selections are independent (with replacement) or dependent (without replacement).
Combinatorics: For distinct selections, use permutations ((P(n, k))) or combinations ((C(n, k))) appropriately.

Common Pitfalls:

Misapplying combinations instead of permutations (or vice versa).
Forgetting to account for replacement in probability trees.

Final Answer:

The probability of winning the "Lucky Draw" game is 28%.

This structured approach ensures clarity and aligns with CAT 2024’s emphasis on efficient problem-solving in Quantitative Slot 1.

		Remember me	Forgot password?
Password			Register now

cat 2024 quant slot 1

Post a reply

Previous / Next

Explore interesting content

Viewed forums

New post