Independence Probability from Table

Are the events "Swimming" and "Male" Independent? Let's find out. Let A = Swimming and B = Male Here is the general rule for independence, which we will break down: P(A) = P(A|B) = P(A|B^C) What is the probability of randomly-selecting an individual who prefers swimming?

Mathematical Equivalence

OFF

Are the events "Swimming" and "Male" Independent? Let's find out. Let A = Swimming and B = Male Here is the general rule for independence, which we will break down: P(A) = P(A|B) = P(A|B^C) Write that last fraction down so you don't forget. What is the probability of randomly-selecting someone who prefers swimming, given that they are male?

Mathematical Equivalence

OFF

Are the events "Swimming" and "Male" Independent? Let's find out. Let A = Swimming and B = Male Here is the general rule for independence, which we will break down: P(A) = P(A|B) = P(A|B^C) Write that last fraction down so you don't forget. What is the probability of randomly-selecting someone who prefers swimming, given they are NOT male? (HINT: What category in this table is not male?)

Mathematical Equivalence

OFF

Let's put those fractions together that you hopefully got:

40/150 = 15/60 = 25/90

Determine if that statement is true. Then, complete the sentence by dragging the correct terms.

Since these fractions ​ ​ (a)   equal, the events ​ (b)   and​ (c)   are not​ (d)   .

• are not

• Swimming

• Male

• independent

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

Given that the grade is an A, what is the probability of the student being female?

Mathematical Equivalence

ON

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

Given that the grade is a B, what is the probability of the student being male?

Mathematical Equivalence

ON

What is the probability that a randomly selected employee is male and a sergeant?

Mathematical Equivalence

ON

The make-up of employees at a police station is shown in the table above:

10) Given the employee is an inspector, what is the probability the employee is male?

Mathematical Equivalence

ON

What is the probability a randomly selected student has no license?

Mathematical Equivalence

ON

P( women | movies)

Mathematical Equivalence

ON