In a probability experiment, a card is drawn at random with replacement from a bag containing red, green, and blue cards. After conducting trials, a green card was drawn times. Given that the theoretical probability of drawing a green card is , calculate the positive difference between the experimental probability and the theoretical probability of drawing a green card.
Cevap: 0.04
Cevap
The positive difference between the experimental probability and the theoretical probability is 0.04.
The experimental probability is calculated as the ratio of observed favorable outcomes to total trials: \(\frac{85}{250} = 0.34\). Subtracting the given theoretical probability of \(0.30\) yields a positive difference of \(|0.34 - 0.30| = 0.04\).
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Anahtar Kavram
Experimental probability is determined empirically by dividing the number of times an event occurs by the total number of trials, whereas theoretical probability is based on expected outcomes under ideal conditions.