Probability

2010-05-29 9:04 pm
A bag with 3 yellow sweets, 5 green sweets and 4 blue sweets (total 12). To draw one at a time, what is the probability of getting 1st blue, 2nd blue 3rd any color and 4th yellow?

回答 (2)

2010-05-29 10:18 pm
✔ 最佳答案
P(E)
= P(blue) * P(blue) * P(any color) * P(yellow)
= P(blue) * P(blue) * P(yellow) * P(yellow)
+ P(blue) * P(blue) * P(not yellow) * P(yellow)
= 4/12 * 3/11 * 3/10 * 2/9 + 4/12 * 3/11 * 7/10 * 3/9
= 324/11880
= 27/990

2010-05-29 14:19:26 補充:
= 3/110
2010-05-30 12:58 am
P(getting 1st blue)
= 4/12
=1/3

P(getting 2nd blue)
= 3/11

P(getting 3rd any color)
= 1

P(getting 4th yellow)
= 2/9

P(required result)
=(1/3)*(3/11)*(1)*(2/9)
=2/99
參考: me


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