Please to solve the following question:
In a stall game, the whole surface of a table is covered by square tiles of side 6cm as shown. A participant is asked to throw a metal disc of diameter 4 cm onto the table. If the disc does not touch the side of any square, he wins. If it touches a side, he loses. Suppose a participant throws the disc and it stays on the table, what is the probability that he wins the game?
Introduction to Probability
2010-12-02 5:38 am
回答 (1)
2010-12-02 5:52 am
✔ 最佳答案
Radius of the disc = 2cmThe centre of the disc must keep at least 2cm from each side of the tile,so that it will not touch the side.
Hence the centre lies in a 2cm x 2cm square on the centre part of the square tile.
Let there are totally n tiles.
Required probability
= (2^2 x n) / (6^2 x n)
= 4/36 = 1/9
參考: me
收錄日期: 2021-04-15 17:17:36
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