Question
A figure shows a trapezoid drawn inside a triangle. The area of the trapezoid is 96 mm², and the area of the triangle is 125 mm². A point on the figure is randomly selected, and its location recorded.
After 250 trials, the randomly selected point was in the trapezoid 154 times.
How does the experimental probability of a randomly selected point being in the trapezoid compare to the theoretical probability of the event?
The experimental probability of the event is Q1_______ and the theoretical probability of the event is Q2_________________. Therefore, the experimental probability is Q3 _______________ the theoretical probability.
After 250 trials, the randomly selected point was in the trapezoid 154 times.
How does the experimental probability of a randomly selected point being in the trapezoid compare to the theoretical probability of the event?
The experimental probability of the event is Q1_______ and the theoretical probability of the event is Q2_________________. Therefore, the experimental probability is Q3 _______________ the theoretical probability.
Answers
GPT 3.5
The experimental probability of a randomly selected point being in the trapezoid is 154/250 = 0.616.
The theoretical probability can be found by dividing the area of the trapezoid by the area of the triangle: 96/125 = 0.768.
Therefore, the experimental probability is less than the theoretical probability, with the experimental probability being 0.616 and the theoretical probability being 0.768.
The theoretical probability can be found by dividing the area of the trapezoid by the area of the triangle: 96/125 = 0.768.
Therefore, the experimental probability is less than the theoretical probability, with the experimental probability being 0.616 and the theoretical probability being 0.768.