maths~~

2010-05-12 7:37 pm
投擲一顆不均稱的骰子,分別擲出點數是1與6的概率均為1/5,而分別擲出點數是2、3與4的概率為1/6。投擲骰子兩次,求擲得相同點數的概率。

回答 (1)

2010-05-12 7:59 pm
✔ 最佳答案
P(1) = P(6) = 1/5
P(2) = P(3) = P(4) = 1/6
P(5) = 1 - 2(1/5) - 3(1/6) = 1/10
P(相同點數)
= 2 * (1/5)^2 + 3 * (1/6)^2 + (1/10)^2
= 2/25 + 1/12 + 1/100
= 24/300 + 25/300 + 3/300
= 52/300
= 13/75



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