Estimating Probabilities from Experiments (Leaving Cert Mathematics): Quizzes

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Estimating Probabilities from Experiments
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When should experimental probability be used?

When outcomes are not equally likely

What is the formula for relative frequency?

SuccessesTotal trials\frac{\text{Successes}}{\text{Total trials}}

What does relative frequency provide?

An estimate of probability

According to the law of large numbers, what happens as trials increase?

Relative frequency approaches true probability

In a complete probability distribution, what must all probabilities sum to?

1

What is the formula for expected frequency?

Probability ×\times number of trials

If 16 out of 100 cars are blue, what is the relative frequency of blue cars?

16100\frac{16}{100}

How can the reliability of probability estimates be improved?

Increase the sample size

If probabilities are 0.1, 0.2, 0.3, 0.2, and aa, and they sum to 1, what is aa?

0.2

If P(six) = 0.3 and a dice is thrown 300 times, how many sixes are expected?

90

Which trial count gives the most reliable results: 30, 100, 150, or 300?

300 trials

If probability of a blue disc is 25\frac{2}{5}, how many blues expected in 50 draws?

20

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