1
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are labelled as B. Cards are drawn at random, one after the other and with replacement, till a second A-card is obtained. The probability that the second A-card appears before the third B-card is :
A
$${{13} \over {16}}$$
B
$${{11} \over {16}}$$
C
$${{15} \over {16}}$$
D
$${{9} \over {16}}$$
2
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
Let A and B be two events such that the probability that exactly one of them occurs is $${2 \over 5}$$ and the probability that A or B occurs is $${1 \over 2}$$ , then the probability of both of them occur together is :
A
0.20
B
0.02
C
0.01
D
0.10
3
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Let A and B be two independent events such that
P(A) = $${1 \over 3}$$ and P(B) = $${1 \over 6}$$.
Then, which of the following is TRUE?
A
$$P\left( {{A \over {A \cup B}}} \right) = {1 \over 4}$$
B
$$P\left( {{A \over B}} \right) = {2 \over 3}$$
C
$$P\left( {{{A'} \over {B'}}} \right) = {1 \over 3}$$
D
$$P\left( {{A \over {B'}}} \right) = {1 \over 3}$$
4
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
Out of Syllabus
In a workshop, there are five machines and the probability of any one of them to be out of service on a day is $${{1 \over 4}}$$ . If the probability that at most two machines will be out of service on the same day is $${\left( {{3 \over 4}} \right)^3}k$$, then k is equal to :
A
$${{{17} \over 4}}$$
B
$${{{17} \over 2}}$$
C
$${{{17} \over 8}}$$
D
4
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