Answer: The required probability is [tex]\dfrac{3}{14}[/tex]
Step-by-step explanation:
Since we have given that
Number of boys = 5
Number of girls = 3
Total number = 8
President and vice president should be girl.
So, the probability of getting a girl president and girl vice president would be :
[tex]\dfrac{^3C_1\times ^2C_1}{^8C_2}\\\\=\dfrac{3\times 2}{28}\\\\=\dfrac{3}{14}[/tex]
Hence, the required probability is [tex]\dfrac{3}{14}[/tex]