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.
Answer:
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) = [tex] \frac{num of heads}{total num} = \frac{92}{200} = 0.46 [/tex]
Probability the coin landed tails =
P(H) = [tex] \frac{num of tailss}{total num} = \frac{108}{200} = 0.54 [/tex]
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
[tex] = \frac{92}{200} [/tex]
Therefore the correct option is option A.
The ratio 92/200 represents the experimental probability of the coin landing heads up in this experiment.
