1
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of getting an odd number for odd number of times is :
A
$${5 \over {36}}$$
B
$${3 \over {16}}$$
C
$${1 \over 2}$$
D
$${1 \over {32}}$$
2
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The probabilities of three events A, B and C are given by
P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5.
If P(A$$\cup$$B) = 0.8, P(A$$\cap$$C) = 0.3, P(A$$\cap$$B$$\cap$$C) = 0.2, P(B$$\cap$$C) = $$\beta$$
and P(A$$\cup$$B$$\cup$$C) = $$\alpha$$, where 0.85 $$\le \alpha \le$$ 0.95, then $$\beta$$ lies in the interval :
A
[0.35, 0.36]
B
[0.20, 0.25]
C
[0.25, 0.35]
D
[0.36, 0.40]
3
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+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
$${{5} \over {101}}$$
4
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+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
$${30 \over {61}}$$
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