A box contains 11 red marbles, 7 green marbles, and 6 black marbles. A sample of 10 marbles is to be picked from the box. (a) How many samples contain at least 1 red marble?(b) How many samples contain exactly 4 red marbles and exactly 3 black marbles?(c) How many samples contain exactly 7 red marbles or exactly 6 green marbles?(d) How many samples contain exactly 5 green marbles or exactly 3 black marbles?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A box contains 11 red marbles, 7 green marbles, and 6 black marbles. A sample of 10 marbles is to be picked from the box.

(a) How many samples contain at least 1 red marble?

(b) How many samples contain exactly 4 red marbles and exactly 3 black marbles?

(c) How many samples contain exactly 7 red marbles or exactly 6 green marbles?

(d) How many samples contain exactly 5 green marbles or exactly 3 black marbles?
  
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