Venn Diagram Probability

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, often used to illustrate the overlap between them.

Front

What does the intersection of two sets in a Venn Diagram represent?

Back

The intersection represents the elements that are common to both sets.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the formula for calculating the probability of the union of two events A and B?

Back

The formula is: P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

What does it mean if two events are mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time, meaning their intersection is empty.

Front

How do you find the probability of neither event occurring?

Back

To find the probability of neither event occurring, subtract the probability of either event occurring from 1: P(neither) = 1 - P(A ∪ B).

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

What is the probability of an event that is impossible?

Back

The probability of an event that is impossible is 0.

Front

If 12 senior boys only wrestle, how many senior boys are involved in wrestling?

Back

To find the total number of boys involved in wrestling, you need to add those who only wrestle to those who wrestle and play football.

Front

If 18 senior boys only play football, how do you find the total number of boys playing football?

Back

Add the number of boys who only play football to those who play both football and wrestling.