In a workshop, there are five machines and the probability of any one of them to be out of service on a day is 1/4. If the probability that at most two machines will be out of service on the same day is (3/4)³k, then k is equal to:

Statistics and Probability: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Evening shift · Q4881

JEE Main 20207 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is

{{1 \over 4}}

. If the probability that at most two machines will be out of service on the same day is

{\left( {{3 \over 4}} \right)^3}k

, then k is equal to :

JEE Main 2020 · 7 Jan, Evening shift · Q4881

JEE Main 20207 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is

{{1 \over 4}}

. If the probability that at most two machines will be out of service on the same day is

{\left( {{3 \over 4}} \right)^3}k

, then k is equal to :