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

Two players $A$ and $B$ alternatively toss 3 coins simultaneously. The player who gets 2 heads and 1 tail first, wins the game. If game continues until someone wins and if $A$ begins the game, the probability that B wins the game is

A

$\frac{24}{39}$

B

$\frac{4}{7}$

C

$\frac{15}{39}$

D

$\frac{3}{7}$

2
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If two cards are drawn at random simultaneously from a pack of 52 playing cards, then the probability of getting a face card and a spade card other than the face card is

A

$\frac{35}{221}$

B

$\frac{20}{221}$

C

$\frac{77}{442}$

D

$\frac{65}{442}$

3
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If three unbiased dice are rolled simultaneously, then the probability that all the three dice show distinct numbers is

A

$\frac{1}{36}$

B

$\frac{35}{36}$

C

$\frac{5}{9}$

D

$\frac{4}{9}$

4
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Three persons $A, B$ and $C$ attended a recruitment test, The ratio of the chances of $A, B, C$ in getting through the test is $1: 2: 3$ and their probabilities to face the interview successfully are $0.8,0.7,0.6$, respectively. If one of them is to be selected for the post, then the probability that $A$ gets the post is

A

$3 / 8$

B

$7 / 20$

C

$9 / 20$

D

$1 / 5$

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