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mathdad
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Gilligan has 16 green marbles, 50 blue marbles and 60 red marbles. What is the probability of randomly selecting 2 green marbles?
What is the set up?
What is the set up?
greg1313 said:With or without replacement?
RTCNTC said:Can you show me with both?
RTCNTC said:Someone suggested the following set up:
16C2 ÷ 136
Is this right?
RTCNTC said:Can you show me with both?
Someone suggested the following set up:
16C2 ÷ 136
Is this right?
With replacement: there are a total of 16+ 50+ 60= 126 marbles, 16 of them green. The probability the first marble drawn is green is 16/126= 8/63. That marble is replaced so on the second draw there are still 126 marbles, 16 of them green. The probability the second marble drawn is green is also 8/63. The probability both marbles are green is (8/63)(8/63)= (8/63)^2 which is about 0.0161.RTCNTC said:Gilligan has 16 green marbles, 50 blue marbles and 60 red marbles. What is the probability of randomly selecting 2 green marbles?
What is the set up?
RTCNTC said:Can you show me with both?
Someone suggested the following set up:
16C2 ÷ 136
Is this right?
The probability of getting 2 green marbles out of 10 total marbles is dependent on the number of green marbles in the bag. If there are 4 green marbles in the bag, the probability would be 4/10 x 3/9 = 2/15 or approximately 13.3%. This is because the probability of getting the first green marble is 4/10, and then the probability of getting a second green marble from the remaining 9 marbles is 3/9.
The probability of getting 2 green marbles increases as the number of green marbles in the bag increases. This is because there are more green marbles to choose from, making it more likely to pick 2 green marbles. For example, if there are 6 green marbles in the bag, the probability would be 6/10 x 5/9 = 1/3 or approximately 33.3%.
If the bag contains only green marbles, the probability of getting 2 green marbles is 100%. This is because there are no other colored marbles to choose from, so the only possible outcome is getting 2 green marbles.
The probability of getting 2 green marbles remains the same if marbles are replaced after each pick. This is because the probability is calculated based on the total number of marbles in the bag, not the number of marbles left after each pick. So even if a green marble is picked and then replaced, the probability of picking another green marble remains the same.
The probability of getting 2 green marbles decreases if marbles are not replaced after each pick. This is because the total number of marbles in the bag decreases with each pick, making it less likely to pick 2 green marbles. For example, if a green marble is picked and not replaced, the probability of picking another green marble would be 4/9 instead of 4/10.