1
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive common difference, is :
A
$${{10} \over {99}}$$
B
$${{5} \over {33}}$$
C
$${{15} \over {101}}$$
D
$${{5} \over {101}}$$
2
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws total a of 6 before B throws a total of 7 and B wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the players wins. The probability of A winning the game is :
A
$${5 \over {6}}$$
B
$${5 \over {31}}$$
C
$${31 \over {61}}$$
D
$${30 \over {61}}$$
3
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
The probability that a randomly chosen 5-digit number is made from exactly two digits is :
A
$${{150} \over {{{10}^4}}}$$
B
$${{134} \over {{{10}^4}}}$$
C
$${{121} \over {{{10}^4}}}$$
D
$${{135} \over {{{10}^4}}}$$
4
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
A dice is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4. Then the conditional probability that the score 4 has appeared atleast once is :
A
$${1 \over 8}$$
B
$${1 \over 9}$$
C
$${1 \over 4}$$
D
$${1 \over 3}$$
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