A bag contains 2 red marbles, 6 blue marbles and 7 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 red?

Respuesta :

Answer:

0.01

Step-by-step explanation:

1) the rule is: {required probability}={probability of 2 red marbles} / {all possible combinations 2 of 15};

2) according to the rule above the required probability is:

[tex]\frac{C^2_2*C_{13}^0}{C^2_{15}}=\frac{2!*13!}{15!}=\frac{2}{14*15}=\frac{1}{105}=0.0095238=0.01.[/tex]