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Study Guide and Intervention (continued) - MathnMind

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2-6<br />

Odds The odds of an event occurring is the ratio of the number of ways an event can occur<br />

(successes) to the number of ways the event cannot occur (failures).<br />

Odds<br />

Example<br />

A die is rolled. Find the odds of rolling a number<br />

greater than 4.<br />

The sample space is {1, 2, 3, 4, 5, 6}. Therefore, there are six possible outcomes. Since 5 <strong>and</strong><br />

6 are the only numbers greater than 4, two outcomes are successes <strong>and</strong> four are failures.<br />

2<br />

So the odds of rolling a number greater than 4 is , or 1:2.<br />

4<br />

Exercises<br />

NAME ______________________________________________ DATE ____________ PERIOD _____<br />

<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong> (<strong>continued</strong>)<br />

Probability: Simple Probability <strong>and</strong> Odds<br />

number of successes<br />

<br />

number of failures<br />

Find the odds of each outcome if the spinner at the right is<br />

spun once.<br />

1. multiple of 4 2. odd number<br />

3. even or a 5 4. less than 4<br />

5. even number greater than 5<br />

Find the odds of each outcome if a computer r<strong>and</strong>omly chooses a number between<br />

1 <strong>and</strong> 20.<br />

6. the number is less than 10 7. the number is a multiple of 4<br />

8. the number is even 9. the number is a one-digit number<br />

A bowl of money at a carnival contains 50 quarters, 75 dimes, 100 nickels, <strong>and</strong><br />

125 pennies. One coin is r<strong>and</strong>omly selected.<br />

10. Find the odds that a dime will not be chosen.<br />

11. What are the odds of choosing a quarter if all the dimes are removed?<br />

12. What are the odds of choosing a penny?<br />

Suppose you drop a chip onto the grid at the right. Find the odds<br />

of each outcome.<br />

13. l<strong>and</strong> on a shaded square<br />

14. l<strong>and</strong> on a square on the diagonal<br />

15. l<strong>and</strong> on square number 16<br />

16. l<strong>and</strong> on a number greater than 12<br />

17. l<strong>and</strong> on a multiple of 5<br />

© Glencoe/McGraw-Hill 106 Glencoe Algebra 1<br />

1<br />

5<br />

9<br />

13<br />

9<br />

8<br />

7<br />

10<br />

6<br />

2<br />

6<br />

10<br />

14<br />

1<br />

5<br />

3<br />

7<br />

11<br />

15<br />

2<br />

4<br />

3<br />

4<br />

8<br />

12<br />

16

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