The probability of two yellow cards being drawn is 10.34%; a yellow card and then a green card is 6.89%; two cards that are not orange is 48.27%; two cards that are neither red nor green is 39.31%; two green cards is 3.44%; and a red card and then an orange card is 5.17%.
Since there are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown, and once a card is selected, it is not replaced, the following calculations must be performed to find each probability:
The fraction of possibility of each option must be multiplied by the next option proposed.
10 + 6 + 9 + 5 = 30
- Two yellow cards =
- 10/30 x 9/29 = X
- 0.1034 = X
- 10.34%
- A yellow card and then a green card =
- 10/30 x 6/29 = X
- 0.0689 = X
- 6.89%
- Two cards that are not orange =
- 21/30 x 20/29 = X
- 0.4827 = X
- 48.27%
- Two cards that are neither red nor green =
- 19/30 x 18/29 = X
- 0.3931 = X
- 39.31%
- Two green cards =
- 6/30 x 5/29 = X
- 0.0344 = X
- 3.44%
- A red card and then an orange card =
- 5/30 x 9/29 = X
- 0.0517 = X
- 5.17%
Therefore, the probability of two yellow cards being drawn is 10.34%; a yellow card and then a green card is 6.89%; two cards that are not orange is 48.27%; two cards that are neither red nor green is 39.31%; two green cards is 3.44%; and a red card and then an orange card is 5.17%.
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