Class 12 Maths MCQ – Multiplication Theorem on Probability

This set of Class 12 Maths Chapter 13 Multiple Choice Questions & Answers (MCQs) focuses on “Multiplication Theorem on Probability”.

1. Which of this represents the multiplication theorem of probability?
a) P(A∩B) = P(B) P(B/A)
b) P(A∩B) = P(A) P(B/A)
c) P(A∩B) = P(A) P(B/B)
d) P(A∩B) = P(A) P(A/A)
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2. A box contains 5 brown and 7 black pebbles. What is the probability of drawing a brown pebble if the first pebble drawn is black? The balls drawn are not replaced in the box.
a) \(\frac {5}{11}\)
b) \(\frac {8}{11}\)
c) \(\frac {4}{18}\)
d) \(\frac {14}{11}\)
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3. Which of this represents the multiplication theorem of probability?
a) P(A∩B) = P(B) P(B/A)
b) P(A∩B) = P(A) P(B/B)
c) P(A∩B) = P(A) P(A/A)
d) P(A∩B) = P(B) P(A/B)
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4. A bag contains 6 pink and 8 white pebbles. What is the probability of drawing a brown pebble if the first pebble drawn is pink? The balls drawn are not replaced in the bag.
a) 0
b) \(\frac {8}{11}\)
c) 1
d) \(\frac {14}{11}\)
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5. A bag contains 9 identical balls, of which are 4 are blue and 6 are green. Three balls are taken out randomly from the bag after one another. Find the probability that all three balls are blue?
a) \(\frac {5}{8}\)
b) \(\frac {6}{19}\)
c) \(\frac {5}{21}\)
d) \(\frac {4}{7}\)
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6. A box contains 3 red and 4 blue marbles. Two marbles are drawn without replacement. What is the probability that the second marble is red if it is known the first marblel is red?
a) \(\frac {3}{7}\)
b) \(\frac {4}{7}\)
c) \(\frac {1}{3}\)
d) \(\frac {1}{7}\)
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7. A bag contains 4 red and 7 blue balls. What is the probability of drawing a blue ball if the first ball drawn is red? The balls drawn are replaced into the bag.
a) \(\frac {8}{11}\)
b) \(\frac {7}{11}\)
c) \(\frac {4}{11}\)
d) \(\frac {7}{4}\)
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8. A bag contains 4 red and 7 blue balls. What is the probability of drawing a blue ball if the first ball drawn is red? The balls drawn are not replaced in the bag.
a) \(\frac {7}{10}\)
b) \(\frac {8}{10}\)
c) \(\frac {7}{1}\)
d) \(\frac {4}{11}\)
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9. A bag contains 4 red and 7 blue balls. What is the probability of drawing a red ball if the first ball drawn is blue? The balls drawn are not replaced in the bag.
a) \(\frac {7}{11}\)
b) \(\frac {7}{10}\)
c) \(\frac {4}{10}\)
d) \(\frac {9}{11}\)
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10. A bag contains 4 red and 7 blue balls. What is the probability of drawing a red ball if the first ball drawn is blue? The balls drawn are replaced in the bag.
a) \(\frac {4}{11}\)
b) \(\frac {8}{11}\)
c) \(\frac {4}{18}\)
d) \(\frac {14}{11}\)
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11. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be white if the first ball drawn is white? The balls are not replaced in the bag.
a) \(\frac {1}{9}\)
b) \(\frac {2}{9}\)
c) \(\frac {7}{8}\)
d) \(\frac {1}{8}\)
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12. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be white if the first ball drawn is white? The balls are replaced in the bag.
a) \(\frac {1}{9}\)
b) \(\frac {2}{9}\)
c) \(\frac {1}{8}\)
d) \(\frac {2}{8}\)
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13. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be green if the first ball drawn is red? The balls are replaced in the bag.
a) \(\frac {3}{9}\)
b) \(\frac {4}{9}\)
c) \(\frac {4}{3}\)
d) \(\frac {4}{17}\)
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14. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be green if the first ball drawn is red? The balls are not replaced in the bag.
a) 0.82
b) 0.91
c) 1.23
d) 0.5
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15. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be yellow if the first ball drawn is red? The balls are not replaced in the bag.
a) \(\frac {1}{3}\)
b) \(\frac {1}{2}\)
c) 1
d) 0
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Sanfoundry Global Education & Learning Series – Mathematics – Class 12.

To practice all chapters and topics of class 12 Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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