1
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
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 :
A
$${{39} \over {50}}$$
B
$${{3} \over {4}}$$
C
$${{22} \over {425}}$$
D
$${{52} \over {867}}$$
2
JEE Main 2021 (Online) 26th February Evening Shift
+4
-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 :
A
$${1 \over 7}$$
B
$${4 \over 7}$$
C
$${6 \over 7}$$
D
$${3 \over 7}$$
3
JEE Main 2021 (Online) 26th February Morning Shift
+4
-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 :
A
$${{15} \over {{2^8}}}$$
B
$${{15} \over {{2^{12}}}}$$
C
$${{15} \over {{2^{13}}}}$$
D
$${{15} \over {{2^{14}}}}$$
4
JEE Main 2021 (Online) 25th February Evening Shift
+4
-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 :
A
$${2 \over 9}$$
B
$${1 \over 5}$$
C
$${122 \over 297}$$
D
$${97 \over 297}$$
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