A bag contains 10 red and 20 green marbles. Draw 5 without replacement. What is the probability of getting 2 red and 3 green?

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英文:

A bag contains 10 red and 20 green marbles. Draw 5 without replacement. What is the probability of getting 2 red and 3 green?

问题

I know how to get the probability of drawing marbles all of the same color, but I don't know how to code it to get 2 red and 3 green.

  1.     random.seed(42)
  2.     
  3.     total = 0
  4.     trials = 10000
  5.     
  6.     for _ in range(trials):
  7.         
  8.         draw = random.sample(range(1,31),5)
  9.         
  10.         if (max(draw) <= 20) or ((min(draw) > 20 and max(draw) < 30)):
  11.             total += 1
  12.             
  13.     total/trials
英文:

I know how to get the probability of drawing marbles all of the same color, but I don't know how to code it to get 2 red and 3 green.

  1. random.seed(42)
  3. total = 0
  4. trials = 10000
  6. for _ in range(trials):
  7.     
  8.     draw = random.sample(range(1,31),5)
  9.     
  10.     if (max(draw) &lt;= 20) or ((min(draw) &gt; 20 and max(draw) &lt; 30)):
  11.         total += 1
  12.         
  13. total/trials

答案1

得分: 1

对于每次试验（每次抽取5颗弹珠），您需要记录红色弹珠和绿色弹珠的数量。如果恰好有2颗红色弹珠和3颗绿色弹珠，就增加您的 total 计数器。

  1. import random
  3. random.seed(42)
  5. total = 0
  6. trials = 10000
  8. for _ in range(trials):
  10.     red = 0
  11.     green = 0
  13.     draw = random.sample(range(1, 31), 5)
  14.     for m in draw:
  15.         if m <= 10:
  16.             # 我们假设1-10号弹珠是红色的，11-30号弹珠是绿色的
  17.             red += 1
  18.         else:
  19.             green += 1
  21.     if red == 2 and green == 3:
  22.         total += 1
  24. print(total / trials)
英文:

For each trial (each time you draw 5 marbles) you need to keep count of how many are red and how many are green. If exactly 2 are red and 3 are green, increment your total counter.

  1. import random
  3. random.seed(42)
  5. total = 0
  6. trials = 10000
  8. for _ in range(trials):
  10.     red = 0
  11.     green = 0
  13.     draw = random.sample(range(1, 31), 5)
  14.     for m in draw:
  15.         if m &lt;= 10:
  16.             # we&#39;ll say marbles 1-10 are red, 11-30 are green
  17.             red += 1
  18.         else:
  19.             green += 1
  21.     if red == 2 and green == 3:
  22.         total += 1
  24. print(total / trials)

huangapple
  • 本文由 发表于 2023年2月7日 04:38:31
  • 转载请务必保留本文链接：https://go.coder-hub.com/75366339.html
  • python
  • python-3.x
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