1
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

Two red counters, three green counters and four blue counters are placed in a row in random order. The probability that no two blue counters are adjacent is

A
$\frac{7}{99}$
B
$\frac{7}{198}$
C
$\frac{5}{42}$
D
None of these
2
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

Let $$A$$ and $$B$$ be two independent events such that the odds in favour of $$A$$ and $$B$$ are $$1: 1$$ and $$3: 2$$, respectively. Then, the probability that only one of the two occurs is

A
0.6
B
0.8
C
0.5
D
0.4
3
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

Two dices are rolled. If both dices have six faces numbered $$1,2,3,5,7$$ and $$11$$ then the probability that the sum of the number on the top faces is less than or equal to 8 is

A
$$\frac{4}{9}$$
B
$$\frac{17}{36}$$
C
$$\frac{5}{12}$$
D
$$\frac{1}{2}$$
4
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

A bag contains 50 tickets numbered $$1,2,3, ..., 50$$ of which five are drawn at random and arranged in ascending order of magnitude $$\left(x_1 < x_2 < x_3 < x_4< x_5\right)$$, then the probability that $x_3=30$ is

A
$$\frac{{ }^{29} \mathrm{C}_2 \times{ }^{20} \mathrm{C}_2}{{ }^{50} \mathrm{C}_5}$$
B
$$\frac{{ }^{30} C_1 \times{ }^{29} C_1}{{ }^{50} C_5}$$
C
$$\frac{{ }^5 C_1 \times{ }^{50} C_2}{{ }^{50} C_5}$$
D
$$\frac{{ }^{50} C_2 \times{ }^{29} C_1}{{ }^{50} C_5}$$
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