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Worksheet: Theoretical Probability

Q1:

What it is the probability of rolling a number greater than or equal to 2 on a regular dice?

  • A 1 2
  • B 1 6
  • C 2 3
  • D 5 6

Q2:

If this spinner is spun once, what is the probability of getting a vowel? Give your answer as a fraction in its simplest form.

  • A 1 2
  • B 1 4
  • C 5 8
  • D 3 8
  • E 5 9

Q3:

If this spinner is spun once, what is the probability of NOT getting a vowel? Give your answer as a fraction.

  • A 5 7
  • B 3 7
  • C 1 2
  • D 4 7
  • E 3 8

Q4:

If this spinner is spun once, what is the probability of getting a letter in the word MONDAY? Give your answer as a fraction in its simplest form.

  • A 2 3
  • B 1 3
  • C 3 7
  • D 1 2

Q5:

What is the probability of rolling a number between 0 and 2 on a fair die?

  • A 1 2
  • B 1 3
  • C0
  • D 1 6

Q6:

What is the probability of rolling a number between 3 and 7 on a fair die?

  • A 5 6
  • B 2 3
  • C 1 3
  • D 1 2

Q7:

A box contains 7 white, 4 black, and 6 red balls. What is the probability of drawing a black ball from the box?

  • A 6 1 7
  • B 7 1 7
  • C 1 3 1 7
  • D 4 1 7

Q8:

What it is the probability of rolling a number less than or equal to 1 on a regular dice?

  • A 1 2
  • B0
  • C1
  • D 1 6

Q9:

A class of 60 students contains 32 boys and 28 girls. If a student is picked at random, what is the probability that the student is a girl?

  • A 1 1 2 0
  • B 8 1 5
  • C 2 9 6 0
  • D 7 1 5
  • E 1 6 3 5

Q10:

A number is chosen at random from the set { 3 , 4 , 7 , 8 } . What is the probability that the number is even?

  • A 1 4
  • B 9 1 6
  • C 3 8
  • D 1 2

Q11:

When spinning a fair coin, what is the probability that it lands heads side up?

Q12:

A school club has 25 boys and 13 girls. Of the members in the club 5 of the boys and 4 of the girls wear glasses. If a club member is chosen at random, what is the probability that they do not wear glasses?

  • A 9 3 8
  • B 2 5 3 8
  • C 5 3 8
  • D 2 9 3 8
  • E 2 1 9

Q13:

A bag contains 5 yellow balls, 9 white balls, and 8 red balls. If a ball is chosen at random from the bag, what is the probability that it is white?

  • A 4 1 1
  • B 5 2 2
  • C 5 1 1
  • D 9 2 2

Q14:

Determine the probability that the given fair spinner will stop on a green section when spun.

  • A 3 8
  • B 1 8
  • C 1 2
  • D 1 4

Q15:

Two distinct digits are chosen at random from the set { 2 , 4 , 5 , 8 } . What is the probability that the sum of the two digits is 13?

  • A 3 1 7
  • B 3 1 6
  • C 2 1 7
  • D 1 8
  • E 1 4

Q16:

A box contains 5 red marbles, 8 green marbles, and 4 yellow marbles. If a marble is picked from the box at random, what is the probability that the marble is red?

  • A 4 1 7
  • B 8 1 7
  • C 1 2 1 7
  • D 5 1 7
  • E 1 3 1 7

Q17:

A magician asked a spectator to choose a card from a standard deck of playing cards. The spectator took a card, looked at it, and then put it back into the deck in a different position. The spectator, however, did not know that the magician had arranged the pack so that every black card had a red card on either side of it.

What is the probability that the magician would correctly identify the card?

  • A 1 2 6
  • B 1 5 2
  • C 1 2
  • D 1 4
  • E 1 1 3

If the magician asked the spectator to reveal the colour of the card they had chosen, what would the new probability of the magician correctly identifying the card be?

  • A 1 2
  • B 1 4
  • C 1 2 6
  • D 1 5 2
  • E 1 1 3

Q18:

The letters of the word “Sohag” are written on different cards and placed in a box. What is the probability of selecting at random the card with the letter “Y”?

  • A 1 5
  • B 2 5
  • C 1 3
  • D 0