1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
Four persons can hit a target correctly with probabilities $${1 \over 2}$$, $${1 \over 3}$$, $${1 \over 4}$$ and $${1 \over 8}$$ respectively. if all hit at the target independently, then the probability that the target would be hit, is
A
$${{25} \over {32}}$$
B
$${{25} \over {192}}$$
C
$${{1} \over {192}}$$
D
$${{7} \over {32}}$$
2
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
The minimum number of times one has to toss a fair coin so that the probability of observing at least one head is at least 90% is:
A
2
B
3
C
4
D
5
3
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Let A and B be two non-null events such that A $$\subset$$ B . Then, which of the following statements is always correct ?
A
P(A|B) = 1
B
P(A|B) = P(B) – P(A)
C
P(A|B) $$\le$$ P(A)
D
P(A|B) $$\ge$$ P(A)
4
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is :
A
$${{400} \over 3}$$ loss
B
0
C
$${{400} \over 9}$$ loss
D
$${{400} \over 3}$$ gain
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