Question

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?

Answer 1

Answer:
`\bold{(1)/(35)}`

Explanation:

`\text{1st draw}\ and\ \text{2nd draw}\\\\(4\ blue)/(21\ total)* (3\ remaining\ blue)/(20\ total\ remaining)=(4*3)/(21*20) = (1)/(7*5)=(1)/(35)`