Venn Diagrams and Probability

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, using overlapping circles to show commonalities and differences.

Front

How do you convert a decimal to a percent?

Back

To convert a decimal to a percent, multiply the decimal by 100 and add a percent sign (%). For example, 0.02 becomes 2%.

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the formula for the probability of the union of two events?

Back

The probability of the union of two events A and B is given by P(A or B) = P(A) + P(B) - P(A and B).

Front

How do you find the probability of an event not occurring?

Back

The probability of an event not occurring is 1 minus the probability of the event occurring. For example, if P(A) = 0.3, then P(not A) = 1 - 0.3 = 0.7.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

How do you represent the intersection of two sets in a Venn Diagram?

Back

The intersection of two sets A and B is represented by the overlapping area of the circles representing A and B in a Venn Diagram.

Front

What is the probability of drawing a blue M&M from a bag containing 5 green, 6 yellow, 8 blue, and 7 brown M&Ms?

Back

The probability of drawing a blue M&M is 8/26 or 4/13.