Statistics and Probability: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Evening shift · Q47

JEE Main 202224 Jun, Evening shiftMathematicsHardStatistics and Probability258× since 2002

In an examination, there are 10 true-false type questions. Out of 10, a student can guess the answer of 4 questions correctly with probability

{3 \over 4}

and the remaining 6 questions correctly with probability

{1 \over 4}

. If the probability that the student guesses the answers of exactly 8 questions correctly out of 10 is

{{{{27}k}} \over {{4^{10}}}}

, then k is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

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JEE Main 2022 Statistics and Probability Question with Answer (24 Jun Evening shift, Q47) | JEE Arc