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10th grade Conditional probability, from outcomes or from a two-way table, and what it says about independence worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Conditional probability, from outcomes or from a two-way table, and what it says about independence

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Read this first

    Outcome list, 12 equally likely rows (first the cube's number, then H or T)

    1H*, 1T, 2H*, 2T, 3H*, 3T, 4H*, 4T, 5H*, 5T, 6H*, 6T. Rows where the coin shows heads are starred (*).

  2. Ari rolls a fair number cube and flips a fair coin for a board game. Given that the coin shows heads, what is the chance the cube shows more than 4, in simplest form?

  3. RR*, RB*, RG*, BR, BB, BG, GR, GB, GG. Rows where the first spin is red are starred (*). Jun spins a spinner with equal red, blue and green parts twice. Given that the first spin is red, what is the chance at least one spin is blue, in simplest form?

  4. Outcome list, 16 equally likely rows (first spin, then second spin)

    1 then 1, 1 then 2, 1 then 3, 1 then 4, 2 then 1, 2 then 2, 2 then 3, 2 then 4*, 3 then 1, 3 then 2, 3 then 3*, 3 then 4, 4 then 1, 4 then 2*, 4 then 3, 4 then 4. Rows where the two spins add to 6 are starred (*).

  5. Kira spins a spinner with 4 equal parts, numbered 1 to 4, twice. Given that the two spins add to 6, what is the chance the second spin is even, in simplest form?

  6. Two-way table of students

    InstrumentNo instrumentTotal
    Plays a sport12820
    No sport41620
    Total162440

  7. Luz made this table for a class project. Which division gives the chance that a student plays an instrument, given that the student plays a sport?

    • 12 ÷ 16
    • 12 ÷ 20
    • 20 ÷ 40
    • 12 ÷ 40

  8. Milo made this table for a class project. Which division gives the chance that a student is in grade 7, given that the student likes dogs best?

    • 5 ÷ 15
    • 5 ÷ 14
    • 5 ÷ 30
    • 14 ÷ 30

  9. Two-way table of books

    HardcoverPaperbackTotal
    Fiction71320
    Nonfiction11920
    Total182240

  10. Noah made this table for a class project. Which division gives the chance that a book is fiction, given that the book is a hardcover?

    • 18 ÷ 40
    • 7 ÷ 40
    • 7 ÷ 20
    • 7 ÷ 18

  11. Two-way table of students

    Breakfast at homeBreakfast at schoolTotal
    Walks15520
    Rides the bus91120
    Total241640

  12. Pia made this table for a class project. Which division gives the chance that a student eats breakfast at school, given that the student rides the bus?

    • 11 ÷ 40
    • 11 ÷ 20
    • 11 ÷ 16
    • 20 ÷ 40

  13. Ren asked students about pets for the school paper. A student who has a pet is picked at random. What is the chance the student walks to school, in simplest form?

  14. Two-way table of books

    HardcoverPaperbackTotal
    Fiction81220
    Nonfiction10515
    Total181735

  15. Tala sorted the books on one library cart. A book that is a paperback is picked at random. What is the chance the book is fiction, in simplest form?

  16. Two-way table of students

    Brings lunchBuys lunchTotal
    6th grade141024
    7th grade61016
    Total202040

  17. Zee counted lunches at two tables. A student who is in 7th grade is picked at random. What is the chance the student buys lunch, in simplest form?

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10th grade Conditional probability, from outcomes or from a two-way table, and what it says about independence worksheet – printable
Print: 123456

About this worksheet

Conditional probability from outcome lists and two-way tables. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find P(A given B) by keeping only the outcomes where B happens.
  • I can read joint, marginal and conditional chances from a two-way table.
  • I can decide from the numbers whether knowing one fact changes a chance.

Standard: S-CP.A.3, S-CP.A.4, S-CP.A.5, S-CP.B.6

Words to know

outcome list: Every result that can happen, written one per row.

given: We already know this happened, so only those rows count.

joint chance: The chance two things happen together, out of everyone.

marginal chance: The chance of one thing, from a row or column total.

independent: Knowing one thing does not change the chance of the other.

Common mistakes

Divided by everyone instead of by the group named after "given".

Found the chance the other way round, dividing by the wrong group. Read the sentence aloud and point to the group after "given".

Divided by a row total when the question was about everyone.

What to say

Ask: which group are we told about? Count only that group.

Ask: is any group given? If not, use the grand total.

Questions parents ask

What is the most common mistake with conditional probability, from outcomes or from a two-way table, and what it says about independence?

Divided by everyone instead of by the group named after "given".

How can I help my child with conditional probability, from outcomes or from a two-way table, and what it says about independence?

Ask: which group are we told about? Count only that group.

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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