Question

a university class has 29 students: 14 are psychology majors, 9 are business majors, and 6 are accounting majors. (each student has only one of these majors.) the professor is planning to select two of the students for a demonstration. the first student will be selected at random, and then the second student will be selected at random from the remaining students. what is the probability that the first student selected is a psychology major and the second student is a business major?

do not round your intermediate computations. round your final answer to three decimal places.

(if necessary, consult a list of formulas.)

Explanation:

Identify the given values and target event

Using the Probability of Events knowledge point

$$
LATEXBLOCK0
$$

Calculate the probability of the first event

Using the Probability of Events knowledge point

$$ P(P_1) = \frac{14}{29} $$

Calculate the conditional probability of the second event

Using the Dependent Events and Conditional Probability knowledge points

$$
LATEXBLOCK1
$$

Calculate the joint probability

Using the Dependent Events knowledge point

$$
LATEXBLOCK2
$$

Round the final answer

Using the Probability of Events knowledge point

$$
LATEXBLOCK3
$$

Answer:

A university class has 29 students: 14 are psychology majors, 9 are business majors, and 6 are accounting majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is a psychology major and the second student is a business major?

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