1
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two cards are drawn at random one after the other with replacement from a pack of 52 playing cards. Then, the variance of the random variable of the number of spade cards among the drawn cards is

A

$3 / 8$

B

$1 / 2$

C

$5 / 8$

D

$\frac{7}{8}$

2
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $A$ and $B$ are two events of a random experiment such that $P(A \cup B)=P(A \cap B)$, then which one amongst the following four options is not true?

A
$A$ and $B$ are equally likely
B
$P\left(A \cap B^{\prime}\right)=0$
C
$P\left(A^{\prime} \cap B\right)=0$
D
$P(A)+P(B)=1$
3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If a group of six students including two particular students $A$ and $B$ stand in a row, then the probability of getting an arrangement in which $A$ and $B$ are separated by exactly one student in between them is

A
$2 / 15$
B
$4 / 15$
C
$6 / 15$
D
$8 / 15$
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$A, B, C, D$ cut a pack of 52 well shuffled playing cards successively in the same order. If the person who cuts a spade first, wins the game and the game continues until this happens, then the probability that $A$ wins the game is

A
$\frac{74}{175}$
B
$\frac{44}{175}$
C
$\frac{54}{175}$
D
$\frac{64}{175}$

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