Question

A spinner has 4 equal sections. Red, blue, yellow and green. Maria spins the spinner and tosses a coin. Which shows the sample space for spinning and tossing the coin?

Answer 1

The sample space for spinning the spinner and tossing the coin consists of all possible outcomes of both actions, including the colors on the spinner and the sides of the coin.

Step-by-step explanation:

A sample space in probability theory represents all possible outcomes of a random experiment. It encompasses every conceivable result that can occur, providing a comprehensive framework for analyzing and calculating probabilities associated with different events within the context of the experiment.

The sample space for spinning the spinner and tossing the coin consists of all possible outcomes of both actions. Since the spinner has 4 equal sections (red, blue, yellow, and green) and the coin has 2 sides (heads and tails), we can find the sample space by combining all the possible outcomes of the spinner and the coin. Therefore, the sample space for spinning and tossing the coin is {red, heads}, {red, tails}, {blue, heads}, {blue, tails}, {yellow, heads}, {yellow, tails}, {green, heads}, {green, tails}.

Answer 2

Sample space is the list of outcomes. To find out the list of outcomes of the problem stated above, let us use the Theoretical Probability.

Theoretical Probability= favorable Outcome
total possible outcomes
Let us suppose the following:
P(blue) = no. of ways to land on blue
total no. of colors
= 1/4
= .25
To get the percentage of the outcome, let us multiply .25 with 100
=.25 x 100
= 25%
This means, 1 out 4 is the probability of blue to occur.
The same thing happens to red, green and yellow. They have 1 possible favorable outcome out of 4 possible outcomes.
To summarize, look at the sample space below: (it is better to put them on a table)

Color Outcome
blue 1
red 1
green 1
yellow 1


Here is the probability: Each color may occur once out of 4.
(see attached file)