Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which statement about this experiment is true?

Question:

Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which statement about this experiment is true?

A) The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

B) The ratio 92/200 represents the number of trials in this experiment.

C) The ratio 92/100 represents the theoretical probability of the coin landing heads up in this experiment.

D) The ratio 92/100 represents the number of occurrences of the coin landing heads up in this experiment.

A) The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

Step-by-step explanation:

Given that the number of times, n, Tia flipped a coin is 200 times, heads and tails landed 92 and 108 times respectively.

ie, n = 200

E(Head) = 92

E(Tail) = 108

Let's calculate the following probabilities:

Probability the coin landed heads =

P(H) =

Probability the coin landed tails =

P(H) =

Here, the experimental probability of an event can be derived using:

Number of favourable events / total number.

The expermental probability of the coin landing heads up would be:

Number of heads / total number

Therefore the correct option is option A.

The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.

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