Of 8 dogs in a kennel, 5 are male and 3 are female. If a trainer randomly chooses two dogs for a walk, what is the probability he will choose two females?

Respuesta :

Answer:

The probability of choosing dogs which are female is  [tex]\frac{3}{28}[/tex].

Step-by-step explanation:

Total number of dogs = 8

Total number of dogs which are male = 5

Total number of dogs which are female = 3

Probability of choosing one dog which are female out of 8 = [tex]\frac{3}{8}[/tex]

Total number of dogs left in kennel = 7

Total number of dogs left which are female = 2

Probability of choosing second dog which is female out of left dogs = [tex]\frac{2}{7}[/tex]

Hence, probability of choosing two dogs which are female for walk = [tex]\frac{3}{8} \times \frac{2}{7}[/tex] = [tex]\frac{3}{28}[/tex]