AP Polycet (Polytechnic) 2022 Previous Question Paper with Answers And Model Papers With Complete Analysis

41) Which of the following cannot be the probability of an event?

A) $\frac13$
B) 0.3
C) 33%
D) $\frac76$

View Answer

D) $\frac76$

Explanation:Probabilities are always between 0 and 1.
Options:
A. $\frac{1}{3} = 0.33$ Valid
B. 0.3 Valid
C. 33% = 0.33 Valid
D. $\frac{7}{6} = 1.166...$ Not valid
Answer: $\frac{7}{6}$

42) If a card is selected at random from a deck of 52 cards, then the probability of getting a red face card is

A) $\frac3{26}$
B) $\frac3{13}$
C) $\frac2{13}$
D) $\frac12$

View Answer

A) $\frac3{26}$

Explanation:Probability of red face card from a deck of 52 cards.
There are 6 red face cards (J, Q, K of ♥ and ♦).
So,
$P = \frac{6}{52} = \frac{3}{26}$

43) Two dice are thrown together, the probability of getting the same number on both dice is

A) $\frac12$
B) $\frac13$
C) $\frac16$
D) $\frac1{12}$

View Answer

C) $\frac16$

Explanation:Two dice → Same number (doubles): (1,1), (2,2), …, (6,6) = 6 outcomes
Total outcomes = 6 × 6 = 36
$P = \frac{6}{36} = \frac{1}{6}$

44) A box contains 3 blue, 2 white and 4 red balls. If a ball is drawn at random from the box, what is the probability that it will not be a white ball?

A) $\frac13$
B) $\frac49$
C) $\frac79$
D) $\frac29$

View Answer

C) $\frac79$

Explanation:Balls: 3 Blue + 2 White + 4 Red = 9 balls
Not white = 7 balls
$P = \frac{7}{9}$

45) The mean of 12 numbers is 19. If 4 is subtracted from each number, then the new mean is

A) 17
B) 23
C) 21
D) 15

View Answer

D) 15

Explanation:Mean = 19
If we subtract 4 from each, new mean = 19 − 4 = 15

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