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39 votes
There are 36 pieces of building blocks in a bag: 9 each of blue, green, red, and yellow. Four pieces are chosen at random. Identify the probability that all four of the pieces are red.

User Optionsix
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2 Answers

11 votes
11 votes

Answer:

2/935

Explanation:

dito^

User Rizerzero
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2.9k points
17 votes
17 votes

Answer:

2/935

Explanation:

I have attached an image of the equation to use. Assuming that this is without replacement, we'll be taking out one piece out of the bag every time that one is chosen.

Therefore, for probability, the fraction is part/whole. We first have 9 red to 36 pieces in total, but if we take one out, we'll get 8 red left in the bag, and 35 pieces in total. This continues until we fulfill the prophecy (I don't know. qualifications?) that 4 of the pieces are red.

You can try this for yourself, but once simplified, it should be 3024/1413720, which simplifies to 2/935.


Please let me know if you need more clarification or have issues! probability can be confusing :)

There are 36 pieces of building blocks in a bag: 9 each of blue, green, red, and yellow-example-1
User Jaco Pretorius
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3.0k points