Question

a college professor asked his psychology students to complete a personality test. he paid special attention to his students career goals and their greatest fears. what is the probability that a randomly selected student has a fear of heights and wants to be a therapist? simplify any fractions.

	fear of snakes	fear of heights
social worker	4	2

Explanation:

Step1: Find total number of students

The total number of students is the sum of all values in the table, which is \(2 + 4+3 + 5=14\).

Step2: Find number of students with fear of heights and want to be a therapist

The number of students with a fear of heights and who want to be a therapist is 3.

Step3: Calculate probability

The probability \(P\) is the number of favorable outcomes divided by the total number of outcomes. So \(P=\frac{3}{14}\).

Answer:

\(\frac{3}{14}\)