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IB MAI HL Statistics & Probability Topic 4.3 Probability (id: f5cfce137)

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admin 发表于 2024-3-5 23:01:30 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Statistics & Probability Topic 4.3 Probability,类别为 IB数学

[问答题]
A rat is placed in thoy+in4bsyut:l,hb4 + bzf*g b;qsmm;m;j,c4 1 ul9u3jrkfj 9e maze shown in the diagram below. The maze has four rooms (A-D) with open doors between the rooms. For example, there is one open door connecting rooms C and D, whereas there are two open doorffkj gm3u;j;,1c mbz9jlbuq 94* ;msrs connecting rooms B and D.



Every minute, a buzzer is sounded which prompts the rat to move to a connecting room. The probability of the room the rat chooses to move to is determined by the number of open doors available to it. Each time the rat moves and chooses a door to pass through, the probability of each available open door is equal.
1. Determine the transition matrix describing the room the rat chooses to move to each time the buzzer sounds.

The rat is initially placed in room C.
2. Find the probability of the rat being in room D after 15 minutes.




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