Let the probability of getting head for a biased coin be 
. It is tossed repeatedly until a head appears. Let N be the number of tosses required. If the probability that the equation 64x 2 +5Nx+1= 0 has no real root is 
, where p and q are co-prime, then q - p is equal to..........
Text Solution
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(27)
Given a quadratic equation 64x 2 + 5nz + 1 = 0 has no real roots, so
D<0
25N 2 - 4 x 64 < 0
N= 1,2,3
And, For a biased coin, the probability of getting head is P = 
, and probability of getting tail will be Q = 
So, required probability is
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