27) C

Phil’s score so far = 12 + 8 = 20

He is confident that his dart will not land further away from one of the two neighbouring sections from the one he is aiming at. 

For example, if he aims for 6, his dart could either go to 9, 6 or 11.

A – Wrong
If he aims at 4, he has a possibility of getting 1. So his total score would be 21. After this, he would have to aim for a number which has a value of 9 or higher.
If he gets 1 and for his 4th dart:
If he aims for 9, he has a possibility of getting 4 or 6 (so total score would not be 30)
If he aims for 10, he has a possibility of getting 5 or 8 (so total score would not be 30)
If he aims for 11, he has a possibility of getting 2 or 6 (so total score would not be 30)

B – Wrong
If he aims at 7, he has a possibility of getting 3. So his total score would be 23. After this, he would have to aim for a number which has a value of 7 or higher.
If he gets 3 and for his 4th dart:
If he aims for 7, he has a possibility of getting 5 (so total score would not be 30)
If he aims for 9, he has a possibility of getting 4 or 6 (so total score would not be 30)
If he aims for 10, he has a possibility of getting 5 or 8 (if he lands on 5, total score would not be 30 and if he lands on 8, he would get eliminated).
If he aims for 11, he has a possibility of getting 2 or 6 (so total score would not be 30)

C – Correct
If he aims at 9, he has a possibility of getting 4 or 6. So his total score would be 24. After this, he would have to aim for a number which has a value of 6 or higher.
If he gets 4 and for his 4th dart:
If he aims for 6, he has a possibility of getting 9 or 11 (so total score would be above 30).

If he gets a 6 on his 3rd dart, his total score would be 26. He can then aim at 5, which will guarantee him a win.

D – Wrong
If he aims for 10, there is a possibility of landing on 8. If he lands on 8, he will automatically be eliminated.

E – Wrong
Using the same principle as A and B, E is wrong. 

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