Answer :
Answer: [tex]\dfrac{21}{410}[/tex].
Step-by-step explanation:
Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]
From the given frequency distribution for the class level of students in an introductory statistics course, we have
Number of Junior= 12
Number of Senior = 7
Total students = 6+16+12+7 = 41
Probability that the first student obtained is a junior = [tex]\dfrac{12}{41}[/tex]
Probability that the the second student obtained is a senior. [tex]=\dfrac{7}{41-1}=\dfrac{7}{40}[/tex]
Then, the probability that the first student obtained is a junior and the second a senior would be [tex]\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}[/tex]
Hence, the required probability is [tex]\dfrac{21}{410}[/tex].