Probability of Selecting Students

This video tutorial explains how to calculate probabilities in a dependent event scenario, using a math class with 20 female and 16 male students. It covers the probability of selecting a male then a female, a female then a male, two females, and two males. The tutorial demonstrates the use of a TI-84 calculator for simplifying fractions and converting them to decimals, emphasizing the concept of dependent events where the outcome of one event affects the other.

What is the total number of students in the class?

• 36

• 40

• 16

• 20

What is the probability of selecting a male student first?

• 16/36

• 20/36

• 16/35

• 20/35

After selecting a male, what is the probability of selecting a female?

• 20/36

• 16/36

• 20/35

• 16/35

What is the probability of selecting a female student first?

• 16/36

• 20/36

• 20/35

• 16/35

After selecting a female, what is the probability of selecting a male?

• 20/35

• 20/36

• 16/35

• 16/36

What is the probability of selecting two females consecutively?

• 19/60

• 16/63

• 4/21

• 15/35

What is the probability of selecting a female first and then another female?

• 16/35 * 20/36

• 20/35 * 16/36

• 16/36 * 15/35

• 20/36 * 19/35

What is the probability of selecting two males consecutively?

• 15/35

• 4/21

• 19/60

• 16/63

What is the probability of selecting a male first and then another male?

• 20/35 * 16/36

• 16/36 * 15/35

• 20/36 * 19/35

• 16/35 * 20/36

What is the decimal approximation of the probability of selecting two males?

• 0.2500

• 0.1905

• 0.2540

• 0.3016