1
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
Out of Syllabus
If the probability of hitting a target by a shooter, in any shot, is $${1 \over 3}$$, then the minimum number of independent shots at the target required by him so that the probability of hitting the target atleast once is greater than $${5 \over 6}$$ is :
A
4
B
6
C
5
D
3
2
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
$${{19} \over {72}}$$
3
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
$${{32} \over {49}}$$
4
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
$$52 \over 169$$
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