JEE Advanced 2020 Mathematics question
Let and 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 is tossed twice, independently, and suppose is the number of heads that appear when is tossed twice, independently. Then the probability that the roots of the quadratic polynomial are real and equal, is
Answer: (B)
Solution
Real and equal roots require the discriminant to vanish: with . The only possibilities are and . , $P(β=0) =
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