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Theoretical probability is found using a formula assuming equally likely outcomes, while experimental probability is found from actual trials. As the number of trials increases, experimental probability gets ______ the theoretical probability.

Class 8Data HandlingData Handling
  • Acloser to
  • Bfarther from
  • Cexactly double
  • Dunrelated to

Step-by-Step Solution

By the law of large numbers, as trials increase the experimental probability approaches (gets closer to) the theoretical probability.
Answer: A) closer to

Key idea: Theoretical vs experimental probability

**Theoretical**: , assuming all outcomes equally likely. (heads on a fair coin) = .

**Experimental**: . After 100 coin tosses with 47 heads, experimental (heads) = .

Law of large numbers (informally): the more trials you , the closer experimental probability gets to theoretical probability. So is plausible; would be very unusual for a fair coin.

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