1
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is :
A
$${1 \over {10}}$$
B
$${1 \over {17}}$$
C
$${1 \over {11}}$$
D
$${1 \over {12}}$$
2
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
$${{7} \over {32}}$$
3
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
4
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)
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