Practice Maths

Probability Language and Single Events — Solutions

Click any answer to watch the solution video.

  1. Probability language

    1. Rolling a 7 on a standard die:
    2. Flipping heads on a fair coin:
    3. Drawing any card from a deck:
    4. Rain somewhere in Queensland this year:
    5. Rolling an even number:
    6. Drawing a heart from a deck:
    7. Rolling a number less than 3:
    8. Baby will be male or female:

  2. Sample space

    1. Fair coin:
    2. Standard die:
    3. Day of the week:
    4. Letter from “SCHOOL”:
    5. Number from 1 to 5:
    6. Month of the year:
    7. Card suit:
    8. Four-sided die:

  3. P(event) on a die

    1. P(4):
    2. P(even):
    3. P(greater than 4):
    4. P(factor of 6):
    5. P(less than 1):
    6. P(prime):
    7. P(multiple of 3):
    8. P(1 or 6):

  4. Marbles and cards

    Bag: 4 red, 6 blue, 2 yellow, 8 green = 20 total

    1. P(red):
    2. P(blue):
    3. P(yellow):
    4. P(green):
    5. P(not green):
    6. P(red or yellow):
    7. P(purple):
    8. P(not red):

  5. Fraction, decimal, percentage

    1. Spinner >5 (8 sections):
    2. Blue jelly bean (5 blue, 20 total):
    3. Caramel or lemon (8+4=12 out of 24):
    4. Letter B from “PROBABILITY” (11 letters: P,R,O,B,A,B,I,L,I,T,Y → 2 Bs):
    5. Faulty bulb (3 out of 30):
    6. Die <5 (outcomes 1,2,3,4):

  6. Problem solving

    1. Red and blue marbles:
    2. P(yellow) on spinner:
    3. Multiple-choice exam:
      1. P(correct guess):
      2. Expected correct:
    4. Class of 30 students:
      1. P(plays sport):
      2. P(plays instrument):
      3. P(does neither):
      4. Consistent?:

  7. Design a spinner

    1. (i) P(Green) and P(Blue):
    2. (ii) Verify:
    3. (iii) Sections out of 20:

  8. Letter tiles — QUEENSLAND

    1. (i) Sample space:
    2. (ii) P(vowel):
    3. (iii) P(letter N):
    4. (iv) P(letter appearing more than once):

  9. Working backwards

    1. (i) P(green):
    2. (ii) Numbers of each colour (14 total):
    3. (iii) After adding 5 green marbles (new total = 19):

  10. School survey

    1. (i) P(soccer):
    2. (ii) P(basketball):
    3. (iii) P(neither):
    4. (iv) Assumption: