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Mathematics 84 Online
OpenStudy (anonymous):

A mall is having a raffle ticket drawing. The table shows the tickets to be drawn. What is the probability of drawing a restaurant coupon? A. The experimental probability is 20%. B. The experimental probability is 50%. C. The theoretical probability is 20%. D. The theoretical probability is 50%.

OpenStudy (anonymous):

OpenStudy (anonymous):

@sleepyjess @pooja195 @quickstudent @hhelpplzzzz @Agl202

OpenStudy (quickstudent):

Sorry, I don't know probability.

OpenStudy (kirbykirby):

Well one thing to distinguish is between theoretical probability and experimental probability. In experimental probability, you actually conduct the experiment, and you observe and actually record the outcomes you have obtained throughout the experiment, and then you can associate a probability with each event. So, you can only find an experimental probability once you have actually performed the experiment. For example: I want to know the experimental probability of obtaining the number "4" So, I roll a die 10 times. You record: {3, 5, 1, 2, 6, 2, 1, 4, 1, 3} Then, because you obtained "4" only once, but in 10 total trials, the experimental probability of getting "4" is 1/10. In theoretical probability, you establish that outcomes out of an experiment (that hasn't been performed) as what should theoretically occur. In other words, it is what is expected to happen. The formula is \[ \frac{number~of~favourable~outcomes}{total~number~of~all~outcomes}\] For example: I want to know the theoretical probability of obtaining the number "4" when I roll a die. A die has six sides, so the number of favourable outcomes (i.e. "getting a 4") is just 1. The total number of outcomes though, is 6, because I may roll 1, 2, 3, 4, 5 or 6. And they are equally-likely to occur (assuming the die is fair). So the theoretical probability of getting "4" is 1/6. Essentially, experimental probability requires you to do an experiment and collect data. But the theoretical probability requires thought and an understanding of what outcomes could occur.

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