JEE Main 2024 (Online) 1st February Morning Shift | Probability Question 55 | Mathematics

A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found that 2 balls are white and other 2 balls are black. The probability that the bag contains equal number of white and black balls is :

$\frac{2}{5}$

$\frac{2}{7}$

$\frac{1}{7}$

$\frac{1}{5}$

JEE Main 2024 (Online) 31st January Evening Shift

MCQ (Single Correct Answer)

-1

A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, then the probability of getting two tails and one head is

$$\frac{1}{9}$$

$$\frac{2}{9}$$

$$\frac{1}{27}$$

$$\frac{2}{27}$$

JEE Main 2024 (Online) 31st January Morning Shift

MCQ (Single Correct Answer)

-1

Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable $$x$$ to be the number of rotten apples in a draw of two apples, the variance of $$x$$ is

$$\frac{57}{153}$$

$$\frac{40}{153}$$

$$\frac{37}{153}$$

$$\frac{47}{153}$$

JEE Main 2024 (Online) 31st January Morning Shift

MCQ (Single Correct Answer)

-1

Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made after each drawing. Then the probability, that first drawn marble is red and second drawn marble is white, is

$$\frac{4}{25}$$

$$\frac{2}{3}$$

$$\frac{2}{25}$$

$$\frac{4}{75}$$

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