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# Probabilities

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Probabilities at a fifth grade math level

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### Probabilities

1. 1. By: Christie Potter BaileyWeaver “88 Kings and Queens” Oct 25, 2009 via Flickr,CreativeCommons Attribution
2. 2. What is a probability? Three major points 1.An experiment (Situation) 2.An outcome (Result) 3.An event (Single Result) Probability= measurement of a single event occurring
3. 3. • 0=NO chance of the probability occurring • In Between = represented with fractions, decimals, & percent • 1=the probability WILL occur 0-1 Probability
4. 4. • Percent: 0-100% probability • Decimal: 0.0-1.0 probability • Fraction: 0/1 - 1/1 probability • Each can be interchangeable Using Fractions, Decimals, & Percent
5. 5. Example: 20% • Fraction  20/100 can be SIMPLIFIED to 1/5 • Decimal  20% DIVDED by 100% = .2 Starting At A Percent
6. 6. Example: ¾ • Percent  ¾ is EQUAL to 75/100 or 75% • Decimal  3 DIVIDED by 4 equals .75 Starting At A Fraction
7. 7. Example: .5 • Percent  .5 MULTIPLIED by 100 = 50% • Fraction  50/100 can be SIMPLIFIED to ½ Starting At A Decimal
8. 8. # of ways event can occur P (A) = total # of possible outcomes Where A = The Event Probability of an Event
9. 9. • IF P (A) > P (B) • THEN A is more likely to occur • IF P(A) = P(B) • THEN P (AB) are equally likely to occur Probability A vs. B
10. 10. Dice Example • Probability (1/6) - for each number 1-6 • 1 = each number on a die (1,2,3,4,5,6) • 6 = total number of sides
11. 11. Continued… We Can Also Say… •Probability of EVEN numbers: •P (3/6) OR  (1/3) •Probability of ODD numbers: •P (3/6) OR  (1/3) Leah Love “Dice Isn’t Just A Game; It’s aWay of Life” Aug 18, 2005 via Flickr,Creative Commons Attribution
12. 12. •P (Yellow) = ¼ •P (Blue) = ¼ •P (Green) = ¼ •P (Red) = ¼ A Spinner Example
13. 13. •Used when drawing from a bag •Take object out without putting back •Carton has 12 eggs •  I take one • 11 are left ProbabilityWithout Replacement
14. 14. • I have 30 pieces •7 are Red •23 are Blue •I’m going to pass them out Jar of Candy Ella Novak “Jar of Candy” Jan 5, 2003 via Flickr,Creative Commons Attribution
15. 15. Creating A ProbabilityTree Candy P (Red) 7/30 P (Blue) 23/30 P (Red) 6/29 P (Blue) 23/29 P (Red) 7/29 P (Blue) 22/29
16. 16. •P (Red, Red) : 7/30 MULTIPLY by 6/29 = 42/870 •P (Red, Blue) : 7/30 MULTIPLY by 23/29 = 161/870 •P (Blue, Blue) : 23/30 MULTIPLY by 22/29 = 506/870 •P (Blue, Red) : 23/30 MULTIPLY by 7/29 = 161/870 The Math
17. 17. •Q: Which is MOST likely to occur? •A: P (Blue, Blue) •Q: Which is LEAST likely to occur? •A: P (Red, Red) •Which are EQUALLY likely to occur? •A: P (Red, Blue) & P (Blue, Red) Q & A