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Ayan Paul Best Answer
The contestant can give 4 correct answers out of 5 questions in 5C4 = 5 ways. now, a question can be wrongly answered with probability = 2/3 and, a question can be correctly answered with probability = 1/3 Since, the questions have been answered independently, So, the probability that he will win the contest will be = 5*(2/3)*(1/3)^4 = 10/(3^5)