1
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Tom and Jerry play a game of alternately throwing an unfair coin. First one to get head wins. If Tom starts the game, he has 62.5% chance of winning the game. Suppose this coin is tossed 5 times, then the probability of getting exactly 3 head is

A
$$\frac{144}{625}$$
B
$$\frac{124}{625}$$
C
$$\frac{121}{625}$$
D
$$\frac{100}{625}$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

One card is selected at random from 27 cards numbered form 1 to 27. What is the probability that the number on the card is even or divisible by 5.

A
$$\frac{15}{27}$$
B
$$\frac{16}{27}$$
C
$$\frac{17}{27}$$
D
$$\frac{18}{27}$$
3
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Nine balls one drawn simultaneously from a bag containing 5 white and 7 black balls. The probability of drawing 3 white and 6 black balls is

A
$$\frac{{ }^7 C_3}{{ }^{12} C_9}$$
B
$$\frac{7}{22}$$
C
$$\frac{3}{22}$$
D
$$\frac{7}{11}$$
4
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The probabilities that $$A$$ and $$B$$ speak truth are $$\frac{4}{5}$$ and $$\frac{3}{4}$$ respectively. The probability that they contradict each other when asked to speak on a fact is

A
$$\frac{1}{5}$$
B
$$\frac{3}{20}$$
C
$$\frac{4}{20}$$
D
$$\frac{7}{20}$$

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