1
JEE Main 2021 (Online) 17th March Evening Shift
+4
-1
Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be $${1 \over 2}$$ and probability of occurrence of 0 at the odd place be $${1 \over 3}$$. Then the probability that '10' is followed by '01' is equal to :
A
$${1 \over 18}$$
B
$${1 \over 3}$$
C
$${1 \over 9}$$
D
$${1 \over 6}$$
2
JEE Main 2021 (Online) 17th March Morning Shift
+4
-1
Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is :
A
$${4 \over 9}$$
B
$${1 \over 2}$$
C
$${5 \over {12}}$$
D
$${17 \over {36}}$$
3
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repetitions, be divisible by 3. Then probability of event A is equal to :
A
$${4 \over {9}}$$
B
$${9 \over {56}}$$
C
$${11 \over {27}}$$
D
$${3 \over {7}}$$
4
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
$${{52} \over {867}}$$
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