1
GATE ME 2016 Set 3
+2
-0.6
Three cards were drawn from a pack of $$52$$ cards. The probability that they are a king, a queen, and a jack is
A
$${{16} \over {5525}}$$
B
$${{64} \over {2197}}$$
C
$${3 \over {13}}$$
D
$${8 \over {16575}}$$
2
GATE ME 2015 Set 3
+2
-0.6
A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event that a tail occurs on the third toss. Let $$Z$$ be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?
A
$$X$$ and $$Y$$ are not independent
B
$$Y$$ and $$Z$$ are dependent
C
$$Y$$ and $$Z$$ are independent
D
$$X$$ and $$Z$$ are independent
3
GATE ME 2015 Set 2
+2
-0.6
The chance of a student passing an exam is $$20$$% The chance of a student passing the exam and getting above $$90$$% marks in it is $$5$$%. Given that a student passes the examination, the probability that the student gets above $$90$$% marks is
A
$${1 \over {18}}$$
B
$${1 \over {4}}$$
C
$${2 \over {9}}$$
D
$${5 \over {18}}$$
4
GATE ME 2014 Set 2
+2
-0.6
A box contains $$25$$ parts of which $$10$$ are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being good is
A
$${7 \over {20}}$$
B
$${42 \over {125}}$$
C
$${25 \over {29}}$$
D
$${5 \over {9}}$$
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