Let C 1 and C 2 be two biased coins such that the probabilities of getting head in a single toss are 
and 
, respectively. Suppose 
is the number of heads that appear when C 1 is tossed twice, independently, and suppose 
is the number of heads that appear when C 2 is tossed twice, independently. Then the probability that the roots of the quadratic polynomial x 2 - ax + 
are real and equal, is
Text Solution
Verified by ExpertsB
For 
, for 
, given roots of the equation 
equal real roots
So required probability = 
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