JEE Main 2021 (Online) 25th February Morning Shift | Probability Question 114 | Mathematics

When a missile is fired from a ship, the probability that it is intercepted is $${1 \over 3}$$ and the probability that the missile hits the target, given that it is not intercepted, is $${3 \over 4}$$. If three missiles are fired independently from the ship, then the probability that all three hit the target, is :

$${3 \over 4}$$

$${3 \over 8}$$

$${1 \over 27}$$

$${1 \over 8}$$

JEE Main 2021 (Online) 25th February Morning Shift

MCQ (Single Correct Answer)

-1

The coefficients a, b and c of the quadratic equation, ax² + bx + c = 0 are obtained by throwing a dice three times. The probability that this equation has equal roots is :

$${1 \over {72}}$$

$${5 \over {216}}$$

$${1 \over {36}}$$

$${1 \over {54}}$$

JEE Main 2021 (Online) 24th February Evening Shift

MCQ (Single Correct Answer)

-1

The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have exactly two elements in their intersection, is :

$${{135} \over {{2^9}}}$$

$${{65} \over {{2^8}}}$$

$${{65} \over {{2^7}}}$$

$${{35} \over {{2^7}}}$$

JEE Main 2021 (Online) 24th February Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of getting an odd number for odd number of times is :

$${5 \over {36}}$$

$${3 \over {16}}$$

$${1 \over 2}$$

$${1 \over {32}}$$

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