Sample Space Probability Calculator

Publish date: 2024-06-18

From the sample space {1,2,3,4,5,6,7,3,5,3}, determine the probability of {3,5,7,9,11,13}
There are 10 items in the sample space, this is our denominator

Determine number of occurrences of 3 in {1,2,3,4,5,6,7,3,5,3}

There were 3 occurrences of 3

Determine number of occurrences of 5 in {1,2,3,4,5,6,7,3,5,3}

There were 2 occurrences of 5

Determine number of occurrences of 7 in {1,2,3,4,5,6,7,3,5,3}

There was 1 occurrence of 7

Determine number of occurrences of 9 in {1,2,3,4,5,6,7,3,5,3}

There were 0 occurrence of 9

Determine number of occurrences of 11 in {1,2,3,4,5,6,7,3,5,3}

There were 0 occurrence of 11

Determine number of occurrences of 13 in {1,2,3,4,5,6,7,3,5,3}

There were 0 occurrence of 13

Determine total occurrences:

Probability =	Event Occurrence
	Sample Space

Event Occurrences of {3,5,7,9,11,13} = 3 + 2 + 1 + 0 + 0 + 0 = 6
Using our GCF Calculator, we see that 6 and 10 can be reduced by a factor of 2, therefore, we have

As a decimal, the probability is 0.6

What is the Answer?

As a decimal, the probability is 0.6

How does the Sample Space Probability Calculator work?

Free Sample Space Probability Calculator - Given a sample space S and an Event Set E, this calculates the probability of the event set occuring.
This calculator has 2 inputs.

What 1 formula is used for the Sample Space Probability Calculator?

Probability = Event Occurrence/Sample Space

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Sample Space Probability Calculator?

eventa set of outcomes of an experiment to which a probability is assigned.probabilitythe likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomessample space the set of all possible outcomes or results of that experiment.sample space probabilitysubsetA is a subset of B if all elements of the set A are elements of the set B