A fair coin is flipped 100 times and the results are recorded in the table below.

Which statement is correct?

AThe theoretical probability of the coin landing on heads is 7/20.
BThe experimental probability of the coin landing on tails is 1/2.
CThe theoretical probability of the coin landing on tails is 1/2.
DThe experimental probability of the coin landing on heads is 13/20.

C would be correct. A is blatantly wrong, B would be correct if it was referring to the theoretical probability, and D is true of the coin landing on tails NOT heads.

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anuksha0456 anuksha0456 · Answer 2 · 2022-05-27T02:04:19-04:00

Option C) is the correct statement as the Theoretical Probability of the coin landing on tails is 1/2

What do we mean by theoretical probability?

Theoretical probability is the ratio of favorable outcomes to the total number of outcomes.

What do we mean by experimental probability?

Experimental probability or empirical probability is based on a particular experiment using the same formula.

How do we determine probabilities by the question?

Experimental probability of getting heads

= Frequency of heads/Total observations

= 35/100 = 7/20

Experimental probability of getting tails

= Frequency of tails/Total observations

= 65/100 = 13/20

The theoretical probability of getting a heads

= Favorable outcomes of getting heads/Total possible outcomes

= 1/2

The theoretical probability of getting a tails

= Favorable outcomes of getting tails/Total possible outcomes

= 1/2

When we cross-check with the options,

A) Incorrect, as the Theoretical Probability of the coin landing on heads = 1/2

B) Incorrect, as the Experimental Probability of the coin landing on tails = 13/20

C) Correct, as the Theoretical Probability of the coin landing on tails = 1/2

D) Incorrect, as the Experimental Probability of the coin landing on heads = 7/20

Learn more about the Theoretical and Experimental Probability at

https://brainly.com/question/8652467

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