Question:
In an experiment, with increasing number of tosses of a coin the
In an experiment, with increasing number of tosses of a coin the
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Probability is about percentages/ratios converging, not the absolute "streak" or difference between counts.
Updated On: May 14, 2026
- Ratio of heads to tails approaches 1 and the differential count between them declines.
- Ratio of heads to tails approaches 1 while the differential count between them increases.
- The ratio of heads to tails remains at 1.
- The ratio of heads and tails oscillates around 1 while the differential count declines.
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The Correct Option is B
Solution and Explanation
Step 1: Concept
The Law of Large Numbers states that as the number of trials increases, the relative frequency (ratio) converges to the theoretical probability.
Step 2: Analysis
Theoretical probability of heads is 0.5. As tosses increase, the ratio of heads to tails becomes closer to $1:1$ (0.5/0.5).
Step 3: Reasoning
However, the absolute difference (differential count) between the actual number of heads and tails tends to grow larger as the sample size increases, even though it becomes a smaller percentage of the total.
Step 4: Conclusion
The ratio approaches 1, but the differential count increases. Final Answer: (B)
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