Answer:
24 Outcomes
Step-by-step explanation:
The sample space of an event is the set of all possible outcomes.
A jar contains 6 marbles numbered 1 through 6
Sample Space of Selecting a Marble from the Jar =6
A standard deck contains 4 Suits
Sample Space of Selecting a Card and Observing the Suit = 4
Theorem(The Fundamental Counting Principle)
If there are “x” ways for one event to happen, and “y” ways for a second event to happen, then there are “x * y” ways for both events to happen.
Therefore the Sample Space of randomly selecting a marble from the jar, observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card is given as:
Sample Space of Selecting a Marble X Sample Space of Selecting a Card and observing the Suits
= 6 X 4
=24
There are 24 Outcomes in this experiment.
