Question

An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 7 equal regions. The number of elements in the sample space of this experiment is

84

3

15

9

Answer 1

Option A.

The number of elements in the sample space of this experiment is 84

Explanation:

The sample space for an experiment represents the number of possible results that may occur when conducting the experiment.

When throwing a die and observe the number obtained there are 6 possible results

When throwing a coin there are 2 possible results.

When spinning a wheel divided into 7 regions we have 7 possible outcomes.

If we combine these three experiments, then the sample space S is composed of the product of the possible results of each experiment.

`S = (6)(2)(7)\\\\S =84`