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JEE Advanced 2026 Paper 1
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Section:
Chemistry
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Question : 37 of 48
Marks:
+1
,
-0
Suppose that Box I contains 6 red balls and 9 green balls, and Box II contains 8 red balls and 12 green balls. All the balls of Box I and Box II are mixed together and a ball is chosen at random from them. Let
E
1
E_1
E
1
be the event that the ball chosen belonged to Box I and let
E
2
E_2
E
2
be the event that the ball chosen belonged to Box II. Let
F
1
F_1
F
1
be the event that the ball chosen is red and let
F
2
F_2
F
2
be the event that the ball chosen is green.
Then which of the following statements is (are) TRUE?
[JEE Adv 2026 P1]
The events
E
1
E_1
E
1
and
F
1
F_1
F
1
are independent
The events
E
2
E_2
E
2
and
F
2
F_2
F
2
are dependent
The conditional probability
P
(
F
1
∣
E
1
)
P(F_1 | E_1)
P
(
F
1
∣
E
1
)
is equal to the conditional probability
P
(
F
1
∣
E
2
)
P(F_1 | E_2)
P
(
F
1
∣
E
2
)
The conditional probability
P
(
F
1
∣
E
1
)
P(F_1 | E_1)
P
(
F
1
∣
E
1
)
is greater than the conditional probability
P
(
F
2
∣
E
2
)
P(F_2 | E_2)
P
(
F
2
∣
E
2
)
Validate
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