A student placement center has requests from five students for interviews regarding employment with a particular consulting firm. Two of these students are math majors, and the other three students are statistics majors. Unfortunately, the interviewer has time to talk to only two of the students; these two will be randomly selected from among the five. a. What is the probability that both selected students are statistics majors? b. What is the probability that both students are math majors? c. What is the probability that at least one of the students selected is a statistics major? d. What is the probability that the selected students have different majors?

a. P(both stat)=0,36

b. P(both math)=0,16

c. P( at least one sstatt)=0,84

d. P( at least on smath)=0,64

Step-by-step explanation:

Number of students= 5

Number of students math majors=2

Number of students statistics majors=3

a. Probability that both selected students are statistics majors

P(x)=3/5*3/5=0,36

b. Probability that both students are math majors

P(x)=2/5*2/5=0,16

c. Probability that at least one of the students selected is a statistics major

P(sstat)=3/5=0,6

P(not sstat)=2/5=0.4

P(sstat)=1-P(not sstat)∧n

P( at least on sstat)=1-0.4∧2=0.84

d. Probability that the selected students have different majors

P(smath)=2/5=0,4

P(not smath=2/5=0.6

P(smath)=1-P(not smath)∧n

P( at least on smath)=1-0.6∧2=0.64

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