Question

A four-sided die is rolled repeatedly, until the first time (if ever) that an even number is obtained. What is the sample space for this experiment?

Answer 1

Answer:

Sample space by its definition is termed as the list of all the possible outcomes of an experiment.

Therefore, the sample space for this experiment rolling a four-sided die will be: {1, 2, 3, 4}

Step-by-step explanation:

When you roll a a four-sided die, number of dots on uppermost face is said to be an outcome.

For example,  whenever a four-sided die is rolled we can get either 1, 2,3 or 4 dots on the upper most face as an outcome.

As we know that rolling a four-sided die will bring the following possible outcomes: {1, 2, 3, 4}

Possibilities of the number being even (2 and 4) = 2

Probability of the number being even = 2/4 = 1/2

Sample space by its definition is termed as the list of all the possible outcomes of an experiment.

As we have already determined that rolling a four-sided die will bring the following possible outcomes: {1, 2, 3, 4}

Therefore, the sample space for this experiment will be: {1, 2, 3, 4}

Keywords: sample space, 4-sided dice

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