How is the expected outcome calculated?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

The expected outcome in probability is calculated by multiplying the probability of an event occurring by the number of trials conducted. This formula reflects the concept that if an event has a certain probability, then over a large number of trials, the expected number of successful outcomes can be estimated by scaling the probability by the total number of trials.

For example, if the probability of an event is 0.5 (or 50%) and you're conducting 10 trials, the expected outcome would be 0.5 x 10, which equals 5. This means that, on average, you would expect to see the event happen 5 times over those 10 trials.

The other choices reflect different concepts related to outcomes or probabilities but do not accurately represent how to calculate the expected outcome. The average of all trials pertains to data analysis rather than expected values; the sum of successful outcomes is not a calculation method but rather a potential result; and dividing the probability by the number of trials does not apply to determining the expected outcome.

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