JEE Advanced 2021 Full Test 4 Paper 2

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SECTION – B (Single Digit Integer Type)
This section contains 06 questions. The answer to each question is a Single Digit integer ranging from 0 to 9, both inclusive.
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Question : 47 of 54
 
Marks: +1, -0
An artillery target may be either at point I with probability
8
9
or at point II with probability
1
9
. we have 21 shells each of which can be fired either at point I or II. Each shell may hit the target independently of the other shell with probability
1
2
. If α shells must be fired at point I to hit the target with maximum probability, than
α
2
equals
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