Question

A bag contains 8 red marbles, 5 white marbles, and 5 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red? These are very small probabilities so enter your answer with four significant digits. For example: 0.0001345. The probability that all the marbles are red is . What is the probability that none of the marbles are red? The probability that none of the marbles are red is .

Answer 1

Prob [All marbles are red] = 0.0686 ;

Prob [None marble is red] = 0.1470

Explanation:

Prob [All marbles are red] :-

= Prob(1st red marble & 2nd red marble & 3rd red marble)

= 8/18 x 7/17 x 6/16

= 0.0686

Prob [None marble is red] :-

= Prob (1st marble not red & 2nd marble not red & 3rd marble not red)

= 10/18 x 9/17 x 8/16

= 0.1470