1
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
$${3 \over 7}$$
2
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
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
$${{15} \over {{2^{14}}}}$$
3
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
$${97 \over 297}$$
4
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their chances of getting a particular chest disorder are 35%, 20% and 10% respectively. A person is chosen from the group at random and is found to be suffering from the chest disorder. The probability that the selected person is a smoker and non-vegetarian is :
A
$${{14} \over {45}}$$
B
$${{8} \over {45}}$$
C
$${{7} \over {45}}$$
D
$${{28} \over {45}}$$
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