#### Suppose we throw a die once. What is the probability of getting a number greater than 4?

Anonymous

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Anonymous

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Krishna

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Step 1: Identify the sample space and number of possible outcomes

NOTE: The **sample space** of an experiment or random trial is the set of all

possible outcomes or results of that experiment

Die has sample space S = {1, 2, 3, 4, 5, 6}

Number of outcomes n(S) = 6

Step 2: Determine the favorable outcomes for getting a number greater than 4?

Favourable outcomes for number greater than 4 (E) = {5, 6}

Number of favourable outcomes n(E) = 2

P(E) = \frac{\text{Number of trials in which the event happened}}{\text{Total number of trials}}

Probability P(E) = \frac{2}{6} = \frac{1}{3}