JEE Main 2021 (Online) 16th March Morning Shift | Probability Question 111 | Mathematics

A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is :

$${{39} \over {50}}$$

$${{3} \over {4}}$$

$${{22} \over {425}}$$

$${{52} \over {867}}$$

JEE Main 2021 (Online) 26th February Evening Shift

MCQ (Single Correct Answer)

-1

A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 2, is :

$${1 \over 7}$$

$${4 \over 7}$$

$${6 \over 7}$$

$${3 \over 7}$$

JEE Main 2021 (Online) 26th February Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting 9 heads, then the probability of getting 2 heads is :

$${{15} \over {{2^8}}}$$

$${{15} \over {{2^{12}}}}$$

$${{15} \over {{2^{13}}}}$$

$${{15} \over {{2^{14}}}}$$

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

-1

Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of A leaves remainder 2 when divided by 5 is :

$${2 \over 9}$$

$${1 \over 5}$$

$${122 \over 297}$$

$${97 \over 297}$$

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