Quantitative Aptitude
Probability
1,860 Questions
Probability Questions
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$\displaystyle \frac { 10 }{ 52 } $
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$\displaystyle \frac { 1 }{ 4 } $
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$\displaystyle \frac { 1 }{ 5 } $
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$\displaystyle \frac { 3 }{ 13 } $
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$\displaystyle\frac{1}{18}$
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$\displaystyle\frac{5}{36}$
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$\displaystyle\frac{1}{36}$
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$\displaystyle\frac{1}{6}$
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$\displaystyle\frac{1}{3}$
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$\displaystyle\frac{1}{6}$
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$\displaystyle\frac{1}{12}$
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$\displaystyle\frac{1}{4}$
B
Correct answer
Explanation
Total outcomes when throwing two dice = 36. Favorable outcomes (same number) are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), which is 6. Probability = 6/36 = 1/6.
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$\displaystyle\frac{1}{2}$
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$\displaystyle\frac{4}{11}$
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$\displaystyle\frac{7}{11}$
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None
B
Correct answer
Explanation
There are 4 red balls and 7 white balls, so the total number of balls is 11. The probability of drawing a red ball is the number of red balls divided by the total, which is 4/11.
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$\displaystyle\frac{1}{2}$
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$\displaystyle\frac{1}{4}$
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$\displaystyle\frac{1}{13}$
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$\displaystyle\frac{1}{52}$
C
Correct answer
Explanation
There are 4 aces in a standard deck of 52 cards. The probability of drawing an ace is 4/52, which simplifies to 1/13.
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$\displaystyle\frac{1}{2}$
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$\displaystyle\frac{1}{4}$
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$\displaystyle\frac{1}{8}$
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$\displaystyle\frac{1}{52}$
A
Correct answer
Explanation
A standard deck has 52 cards, 26 of which are red (hearts and diamonds). The probability of drawing a red card is 26/52 = 1/2.
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$\displaystyle\frac{35}{36}$
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$\displaystyle\frac{25}{36}$
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$\displaystyle\frac{1}{36}$
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$\displaystyle\frac{11}{36}$
B
Correct answer
Explanation
Probability of getting a 5 in one throw is 1/6. Probability of not getting a 5 is 5/6. For two throws, the probability of not getting a 5 at all is (5/6) * (5/6) = 25/36.
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$\displaystyle \frac{7}{36}$
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$\displaystyle \frac{7}{12}$
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$\displaystyle \frac{5}{12}$
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None of these
C
Correct answer
Explanation
Total outcomes = 36. Sum > 7: Sum 8 (5 outcomes), Sum 9 (4), Sum 10 (3), Sum 11 (2), Sum 12 (1). Total = 5+4+3+2+1 = 15. Probability = 15/36 = 5/12.
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$\displaystyle \frac{2}{6}$
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$\displaystyle \frac{5}{6}$
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$\displaystyle \frac{1}{6}$
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None of these
C
Correct answer
Explanation
A standard die has 6 faces. The probability of rolling a 5 is 1 favorable outcome out of 6 total outcomes.
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$\displaystyle \frac{1}{2}$
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$\displaystyle \frac{1}{6}$
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$\displaystyle \frac{1}{12}$
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None of these
C
Correct answer
Explanation
Probability of 6 on a die = 1/6. Probability of Head on a coin = 1/2. Since events are independent, the probability is (1/6) * (1/2) = 1/12.
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$\displaystyle \frac{1}{6^3}$
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$\displaystyle \frac{1}{6^2}$
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$\displaystyle \frac{1}{6}$
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$\displaystyle \frac{1}{5}$
A
Correct answer
Explanation
The only way to get a total of 18 with three dice is (6, 6, 6). There is only 1 favorable outcome out of 6^3 = 216 total outcomes.
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$\displaystyle \frac{7}{22}$
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$\displaystyle \frac{8}{22}$
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$\displaystyle \frac{9}{22}$
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$\displaystyle \frac{5}{22}$
C
Correct answer
Explanation
Total balls = 6 + 8 + 5 + 3 = 22. Red balls = 6, black balls = 3. Favorable outcomes = 6 + 3 = 9. Probability = 9/22.
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$\displaystyle \frac{2}{3}$
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$\displaystyle \frac{3}{4}$
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$2$
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$\displaystyle \frac{1}{2}$
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$\dfrac{2}{3}$
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$\dfrac{1}{4}$
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$\dfrac{1}{3}$
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$\dfrac{1}{6}$
A
Correct answer
Explanation
There are 6 balls with weights 1, 2, 3, 4, 5, 6. The balls with weight less than 5 kg are 1, 2, 3, and 4. There are 4 such balls out of 6 total, so the probability is 4/6 = 2/3.
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$\dfrac{1}{3}$
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$\dfrac{1}{4}$
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$\dfrac{1}{5}$
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$\dfrac{1}{6}$
D
Correct answer
Explanation
There are 6 balls in the bag, each with a distinct weight. The probability of drawing any specific ball, including the 3 kg ball, is 1 divided by the total number of balls.