A bag contains 8 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be green?

Respuesta :

Answer:

Probability that both marbles drawn will be green = 1 / 20

Step-by-step explanation:

(It is assumed that marbles are not returned in the bag)

[tex]p(1st \: marble \: drawn \: is \: green) = \frac{5}{20} [/tex]

[tex]p(2nd \: marble \: drawn \: is \: green) = \frac{4}{20} [/tex]

Multiplying theses we get :

[tex]p(both \: marbles \: drawn \: are \: green) = \frac{5}{20} \times \frac{4}{20} = \frac{1}{20} [/tex]