Eloise is playing a game that consists of placing 21 colored slips of paper into a bag, drawing one slip, and then drawing a second slip without replacing the first. In order to win, she must draw two slips of paper that are both blue. There are 4 slips of blue, 7 slips of red, 5 slips of green, 2 slips of yellow, and 3 slips of orange paper in the bag.

What is the probability that Eloise will win the game if she randomly pulls two slips of paper from the bag?

Respuesta :

Answer:  [tex]\bold{\dfrac{1}{35}}[/tex]

Step-by-step explanation:

[tex]\text{1st draw}\ and\ \text{2nd draw}\\\\\dfrac{4\ blue}{21\ total}\times \dfrac{3\ remaining\ blue}{20\ total\ remaining}=\dfrac{4\times3}{21\times20} = \dfrac{1}{7\times5}=\dfrac{1}{35}[/tex]