JEE Advanced 2020 Paper 1 Mathematics Q5

Mathematics

Problem

Let C₁ and C₂ be two biased coins such that the probabilities of getting head in a single toss are 2/3 and 1/3, respectively. Suppose α is the number of heads that appear when C₁ is tossed twice, independently, and suppose β is the number of heads that appear when C₂ is tossed twice, independently. Then the probability that the roots of the quadratic polynomial x² − αx + β are real and equal, is

Browse the problem library