A bag contains 21 colored blocks. 5 of them are green 7 of them are red, and 9 are black You randomly draw 3 blocks out of the bag.

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 bag contains 21 colored blocks.
5 of them are green
7 of them are red, and
9 are black
You randomly draw 3 blocks out of the bag.
(a) What is the probability that all three blocks are black?
(b) What is the probability that 2 of them are green and one is red?
(c) What is the probability that all 3 are the same color (all green or all red or all black)?
(d) What is the probability that the 3 blocks are each a different color?
(e) What is the probability that 2 blocks are one color and the other block is a different color?
Transcribed Image Text:A bag contains 21 colored blocks. 5 of them are green 7 of them are red, and 9 are black You randomly draw 3 blocks out of the bag. (a) What is the probability that all three blocks are black? (b) What is the probability that 2 of them are green and one is red? (c) What is the probability that all 3 are the same color (all green or all red or all black)? (d) What is the probability that the 3 blocks are each a different color? (e) What is the probability that 2 blocks are one color and the other block is a different color?
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