A jar contains 6 marbles numbered 1 through 6. An experiment consists 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 (hearts, diamonds, clubs, or spades).
How many outcomes are in the sample space for this experiment?

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.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

where's the diagram?

step-by-step explanation: