Olympiad – Class IX – Mathematics - Probability

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Question - 1

In an experiment, what is the sum of probabilities of all events?

  • A 0.5
  • B 1
  • C -2
  • D \(\frac { 3 }{ 8 } \)

Question - 2

In a throw of a die, what is the probability of getting a prime number?

  • A 2
  • B \(\frac { 1 }{ 2 } \)
  • C \(\frac { 3 }{ 2 } \)
  • D 6

Question - 3

Find the probability that a vowel selected at random in the English alphabet is an "i".

  • A \(\frac { 1 }{ 5 } \)
  • B \(\frac { 1 }{ 26 } \)
  • C \(\frac { 1 }{ 6 } \)
  • D \(\frac { 4 }{ 5 } \)

Question - 4

Determine the probability of three coins falling all heads up when tossed simultaneously.

  • A \(\frac { 1 }{ 2 } \)
  • B \(\frac { 1 }{ 6 } \)
  • C \(\frac { 1 }{ 8 } \)
  • D \(\frac { 7 }{ 8 } \)

Question - 5

The probability of happening of an event is 45%. Find the probability of that event.

  • A 45
  • B 4.5
  • C 0.45
  • D 0.045

Question - 6

When two dice are thrown, what is the probability of getting a number always greater than 4 on the second dice?

  • A \(\frac { 1 }{ 6 } \)
  • B \(\frac { 1 }{ 3 } \)
  • C \(\frac { 1 }{ 36 } \)
  • D \(\frac { 2 }{ 3 } \)

Question - 7

Determine the probability of getting an even number when a die is rolled.

  • A \(\frac { 1 }{ 6 } \)
  • B \(\frac { 1 }{ 36 } \)
  • C \(\frac { 1 }{ 2 } \)
  • D \(\frac { 1 }{ 3 } \)

Question - 8

Two numbers are chosen from 1 to 5. Find the probability for the two numbers to be consecutive.

  • A \(\frac { 1 }{ 5 } \)
  • B \(\frac { 2 }{ 5 } \)
  • C \(\frac { 1 }{ 10 } \)
  • D \(\frac { 3 }{ 5 } \)

Question - 9

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a '10' of a black suit.

  • A \(\frac { 1 }{ 13 } \)
  • B \(\frac { 1 }{ 26 } \)
  • C \(\frac { 5 }{ 13 } \)
  • D \(\frac { 1 }{ 52 } \)

Question - 10

Two dice are thrown ata time.What is the probability that the difference of the numbers shown on the dice is 1?

  • A \(\frac { 5 }{ 18 } \)
  • B \(\frac { 1 }{ 36 } \)
  • C \(\frac { 1 }{ 6 } \)
  • D \(\frac { 7 }{ 36 } \)