JEE Main 2019 (Online) 12th April Evening Slot | Probability Question 177 | Mathematics

For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate solve any problem is $${4 \over 5}$$ , then the probability that he is unable to solve less than two problems is :

$${{164} \over {25}}{\left( {{1 \over 5}} \right)^{48}}$$

$${{316} \over {25}}{\left( {{4 \over 5}} \right)^{48}}$$

$${{201} \over 5}{\left( {{1 \over 5}} \right)^{49}}$$

$${{54} \over 5}{\left( {{4 \over 5}} \right)^{49}}$$

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

-1

If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is :

$${1 \over {10}}$$

$${3 \over {10}}$$

$${3 \over {20}}$$

$${1 \over {5}}$$

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let a random variable X have a binomial distribution with mean 8 and variance 4. If $$P\left( {X \le 2} \right) = {k \over {{2^{16}}}}$$, then k is equal to :

137

121

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

-1

Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is :