Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are psychology majors and two are biology majors. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor randomly selects two of the four wait list students and gives them seats in the class. What is the probability that both students selected have different majors?

Question

Mathematics

Kimberly

20 March, 20:13

Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are psychology majors and two are biology majors. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor randomly selects two of the four wait list students and gives them seats in the class. What is the probability that both students selected have different majors?

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Answers (1)

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Keaton · Answer 1

2/3

Step-by-step explanation:

If all outcomes are listed,

{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}

then 4/6 of the outcomes have different majors.

this can be simplified to 2/3.