Instructions

Answer the following questions based on the information given below.
A bowl contains 4 red, 3 green, 2 blue and 5 black marbles.

Question 129

If three marbles are drawn at random, what is the probability that at least one is red?

Solution

Probability that at least one marble is red = 1 - Probability that none of the balls are red

= 1 - $$^{10}C_3 / ^{14}C_3$$

= 1 - 720 / 2184 = 1 - 30/91 = 61 / 91


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