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Nov 2014 math 22

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Maths p22 was quite easy but there was this question where we had to find the co-ordinate of a point outside a circle which very few in my school got. The answer was -1
 
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Ya, what u do is that first find the gradient of the tangent ( which is the negative reciprocal of the gradient of the radius). Then use this value and the points (3,-4) and (7,k) in the gradient formula. After solving the equation, the answer comes to -1
 
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Some guy - I don't remember the name - is playing a board game. He's on 97 and has to reach 100 to win the game.
The rules are as follows:
1. One throw is the sum of the scores of two fair 6 face dice rolled together.
2. If he gets a score of more than 3, he remains on 97.
3. If he lands on 99, he moves back 3 places.
What is the probability of him reaching 100 in his next two throws?
What was the ans?..? Was any one able to solve?!
 
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Some guy - I don't remember the name - is playing a board game. He's on 97 and has to reach 100 to win the game.
The rules are as follows:
1. One throw is the sum of the scores of two fair 6 face dice rolled together.
2. If he gets a score of more than 3, he remains on 97.
3. If he lands on 99, he moves back 3 places.
What is the probability of him reaching 100 in his next two throws?
What was the ans?..? Was any one able to solve?!


the answer was 47/432
(probability he gets 3 on first go) + (probability he gets 2 on first throw * 4 on second) + (probability he gets anything above 3 on first throw * 3 on second)
 
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the answer was 47/432
(probability he gets 3 on first go) + (probability he gets 2 on first throw * 4 on second) + (probability he gets anything above 3 on first throw * 3 on second)
I also did it in the same way and my answer I guess is also the same :)
 
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