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Free · Class 7–10 · 5 worksheets · answer keys · practise online

Probability worksheets — dice, coins, cards and bags

Free probability worksheets for Class 7 to 10: one die, coins, two dice, a deck of cards and balls in a bag — probability class 10 worksheet with answers in simplest form.

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One die (Class 7–8)Coins (Class 8–9)Balls in a bag (Class 8–9)Playing cards (Class 10)Two dice (Class 10)

One die

Class 7–8 · Worksheet 1
Name:Date:Score:    / 8

Find the probability.

  1. A die is thrown once. P(getting the number 7)
  2. A die is thrown once. P(getting an odd number)
  3. A die is thrown once. P(getting a factor of 6)
  4. A die is thrown once. P(getting a number less than 7)
  5. A die is thrown once. P(getting a number less than 5)
  6. A die is thrown once. P(getting an even number)
  7. A die is thrown once. P(getting a number less than 3)
  8. A die is thrown once. P(getting a prime number)

Coins

Class 8–9 · Worksheet 2
Name:Date:Score:    / 6

Find the probability.

  1. Three coins are tossed together. P(all tails)
  2. Three coins are tossed together. P(exactly two heads)
  3. Three coins are tossed together. P(at least one tail)
  4. Two coins are tossed together. P(exactly one head)
  5. Two coins are tossed together. P(at least one head)
  6. Two coins are tossed together. P(two heads)

Balls in a bag

Class 8–9 · Worksheet 3
Name:Date:Score:    / 8

Find the probability.

  1. A bag has 1 red, 6 blue and 5 green balls. One ball is taken out at random. P(not green)
  2. A bag has 8 red, 4 blue and 7 green balls. One ball is taken out at random. P(red)
  3. A bag has 10 red, 3 blue and 1 green balls. One ball is taken out at random. P(red or blue)
  4. A bag has 10 red, 8 blue and 9 green balls. One ball is taken out at random. P(red)
  5. A bag has 8 red, 4 blue and 6 green balls. One ball is taken out at random. P(red or blue)
  6. A bag has 10 red, 9 blue and 2 green balls. One ball is taken out at random. P(not green)
  7. A bag has 8 red, 7 blue and 4 green balls. One ball is taken out at random. P(blue)
  8. A bag has 1 red, 5 blue and 4 green balls. One ball is taken out at random. P(blue)

Playing cards

Class 10 · Worksheet 4
Name:Date:Score:    / 8

Find the probability.

  1. One card is drawn from a well-shuffled deck of 52 cards. P(a heart)
  2. One card is drawn from a well-shuffled deck of 52 cards. P(an ace)
  3. One card is drawn from a well-shuffled deck of 52 cards. P(a jack or a queen)
  4. One card is drawn from a well-shuffled deck of 52 cards. P(the ace of spades)
  5. One card is drawn from a well-shuffled deck of 52 cards. P(a king)
  6. One card is drawn from a well-shuffled deck of 52 cards. P(not a face card)
  7. One card is drawn from a well-shuffled deck of 52 cards. P(a red card)
  8. One card is drawn from a well-shuffled deck of 52 cards. P(a face card)

Two dice

Class 10 · Worksheet 5
Name:Date:Score:    / 8

Find the probability.

  1. Two dice are thrown together. P(the sum is more than 6)
  2. Two dice are thrown together. P(a doublet — the same number on both dice)
  3. Two dice are thrown together. P(the product is even)
  4. Two dice are thrown together. P(the sum is 11)
  5. Two dice are thrown together. P(the sum is more than 8)
  6. Two dice are thrown together. P(the sum is more than 7)
  7. Two dice are thrown together. P(the sum is 9)
  8. Two dice are thrown together. P(the sum is 12)

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Questions

What is the probability of getting a sum of 7 with two dice?

6/36 = 1/6 — (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

How do I get different questions?

Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).

How do I print only one worksheet?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

Can my child do this worksheet online, like a quiz?

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.