ALEKS Gradebook Ca Calculator Assignments & Book Review Dictionar Suppose that a

Question

ALEKS Gradebook Ca Calculator Assignments & Book Review Dictionar Suppose that a certain college class contains 57 students. Of these, 26 are juniors, 35 are social science majors, and 9 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a social science major? (b) Given that the student selected is a social science major, what is the probability that she is also a junior? Write your responses as fractions (If necessary, consult a list of formulas.) (a) D (b) 0 Clear Undo Help Next>> Explain

Explanation / Answer

Ans:

Given that

P(juniors)=26/57

P(science major)=35/57

P(neither)=9/57

a)P(junior or science major)=1-(9/57)=48/57

P(junior or science major)=P(junior)+P(science major)-P(junior and science major)

(48/57)=(26/57)+(35/57)-P(junior and science major)

P(junior and science major)=(26+35-48)/57=13/57

b)P(junior/science major)=P(junior and science mjor)/P(science major)=(13/57)/(35/57)=13/35

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