1
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in tail then a card from a well-shuffled pack of nine cards numbered 1, 2, 3, ……, 9 is randomly picked and the number on the card is noted. The probability that the noted number is either 7 or 8 is :
A
$${{19} \over {36}}$$
B
$${{15} \over {72}}$$
C
$${{13} \over {36}}$$
D
$${{19} \over {72}}$$
2
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not returned to the urn. Now, a second ball is drawn at random from it. The probability that the second ball is red, is :
A
$${{21} \over {49}}$$
B
$${{27} \over {49}}$$
C
$${{26} \over {49}}$$
D
$${{32} \over {49}}$$
3
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Out of Syllabus
Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of number of aces obtained in the two drawn cards. Then P(X = 1) + P (X = 2) equals :
A
$$25 \over 169$$
B
$$49\over 169$$
C
$$24 \over 169$$
D
$$52 \over 169$$
4
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Let A, B and C be three events, which are pair-wise independent and $$\overrightarrow E$$ denotes the completement of an event E. If $$P\left( {A \cap B \cap C} \right) = 0$$ and $$P\left( C \right) > 0,$$ then $$P\left[ {\left( {\overline A \cap \overline B } \right)\left| C \right.} \right]$$ is equal to :
A
$$P\left( {\overline A } \right) - P\left( B \right)$$
B
$$P\left( A \right) + P\left( {\overline B } \right)$$
C
$$P\left( {\overline A } \right) - P\left( {\overline B } \right)$$
D
$$P\left( {\overline A } \right) + P\left( {\overline B } \right)$$
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