1
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches-0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained all these students is
A
0
B
2550
C
7525
D
9375
2
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Two n bit binary stings, S1 and, are chosen randomly with uniform probability. The probability that the Hamming distance between these strings (the number of bit positions where the two strings different) is equal to d is
A
$$^n{C_d}/{2^n}$$
B
$$^n{C_d}/{2^d}$$
C
$$d/{2^n}$$
D
$$1/{2^d}$$
3
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is
A
1/16
B
1/8
C
7/8
D
15/16
4
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day ?
A
$$1/{7^7}$$
B
$$1/{7^6}$$
C
$$1/{2^7}$$
D
$$7/{2^7}$$
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