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8th grade Chance of "this or that": overlapping and mutually exclusive events worksheet

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Chance of "this or that": overlapping and mutually exclusive events

Grade 8 Math Worksheet

NameDate

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

  1. Ari's jar holds 12 marbles: 3 red, 5 blue and the rest green. Ari picks one at random. In simplest form, what is the chance it is the first kind or the second?

  2. Bo has 10 cards: 4 yellow, 2 green and the rest white. Bo picks one at random. In simplest form, what is the chance it is the first kind or the second?

  3. Esme's bag holds 16 tiles: 2 star, 6 moon, the rest plain. Esme picks one at random. In simplest form, what is the chance it is the first kind or the second?

  4. In the Venn picture, how many students take Art or Music, Jun?

    • 19
    • 16
    • 22
  5. In the Venn picture, what is the chance a student picked at random takes Art or Music, Kira?

    Use the picture in question 4.

    • 22/25
    • 19/25
    • 3/25
  6. Which pair of events can happen together on one roll of Milo's number cube?

    • Rolling a 1 and rolling a 2
    • Rolling an even and rolling over 4
    • Rolling an odd and rolling a 4 or a 6
  7. Noah picks one card numbered 1 to 10. For which pair may the two chances be added?

    • Drawing a 1 or drawing a 10
    • Drawing an even or drawing a 4
    • Drawing under 6 or drawing a 2
  8. Pia's spinner has 8 equal sections: 3 red, 2 blue, 3 green. What is the chance of red or blue?

    • 1/8
    • 5/8
    • 3/32
  9. Which is the full outcome list when Ren flips two coins?

    • HT, TH, HH
    • HH, HT, TH, TT
    • HH, HT, TT
  10. Zee rolls a fair number cube. What is the chance of a 2 or a number over 3?

    • 1/2
    • 1/12
    • 2/3
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8th grade Chance of "this or that": overlapping and mutually exclusive events worksheet – printable
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About this worksheet

Find the chance of an event, its opposite, and 'this or that' for events that do or do not overlap. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the chance an event does NOT happen as 1 minus its chance.
  • I can tell whether two events can happen on the same try.
  • I can add the chances of two events that cannot happen together.
  • I can find the chance of A or B for overlapping events by taking the overlap away once.

Standard: IXL parity (Nov 11) (nearest: 7.SP.C.8; S-CP.B.7 in Algebra 2)

Words to know

outcome: One possible result, like rolling a 4

event: A set of outcomes, like rolling an even number

opposite (complement): Every outcome the event leaves out

cannot happen together (mutually exclusive): Two events that share no outcome

overlap: Outcomes that are in both events

Common mistakes

Your child gave the chance of the event itself. The question asked for the opposite, so take the event's chance away from 1.

Your child multiplied the two chances. Multiplying is for 'this and then that'; for one pick that is 'this or that', add the chances.

Your child added the two groups but counted the outcomes in both groups twice. Add the groups, then take the overlap away once.

Questions parents ask

What is the most common mistake with chance of "this or that": overlapping and mutually exclusive events?

Your child gave the chance of the event itself. The question asked for the opposite, so take the event's chance away from 1.

Are these 8th 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.

More grade 8 math

See all grade 8 math

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