Mr. Hanes places the names of four of his students, Joe, Sofia, Hayden, and Bonita, on slips of paper. From these, he intends to randomly select two students to represent his class at the robotics convention. He draws the name of the first student, sets it aside, then draws the name of the second student. Whats the probability he draws he draws Sofia then joe?

Probability: Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The formula of probability:

[tex]P(A)=\frac{\text{ Number of favorable outcomes to A}}{\text{ Total number of possible outcomes}}[/tex]

For Sofia.

Total number of possible outcomes = 4

Favorable outcomes for Sofia = 1

So probability for Sofia :

[tex]P(S)=\frac{1}{4}[/tex]

After the first student set it aside.

For Joe.

Total number of possible outcomes = 3

A favorable outcome for Joe = 1

So probability for Joe.

[tex]P(J)=\frac{1}{3}[/tex]

So probability for Sofia then joe is:

[tex]\begin{gathered} P=\frac{1}{4}\times\frac{1}{3} \\ \\ P=\frac{1}{12} \end{gathered}[/tex]