There are 5 boys and 3 girls running for school president and vice president. What is the probability that the president is a girl and the vice-president is a girl?

Respuesta :

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]