Probability
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This document discusses probability and provides examples. It defines probability as a measure of how likely an event is to occur, ranging from impossible (0%) to certain (100%). Examples are given such as a 60% chance of rain. Probabilities can be written as fractions from 0 to 1, decimals from 0 to 1, or percentages from 0% to 100%. The probability of an event occurring is calculated by taking the number of ways the event can occur divided by the total number of possible outcomes. Formulas and examples involving coin flips, number cubes, and spinners are provided to illustrate calculating probabilities.
Probability
- 2. PROBABILITY Probability is a measure of how likely an event is to occur. For example – Today there is a 60% chance of rain. The odds of winning the lottery are a million to one. What are some examples you can think of?
- 3. PROBABILITY Probabilities are written as: Fractions from 0 to 1 Decimals from 0 to 1 Percents from 0% to 100%
- 4. PROBABILITY If an event is certain to happen, then the probability of the event is 1 or 100%. If an event will NEVER happen, then the probability of the event is 0 or 0%. If an event is just as likely to happen as to not happen, then the probability of the event is ½, 0.5 or 50%.
- 5. PROBABILITY Impossible Unlikely Equal Chances Likely Certain 0 0.5 1 0% 50% 100% ½
- 6. When a meteorologist states that the chance of rain is 50%, the meteorologist is saying that it is equally likely to rain or not to rain. If the chance of rain rises to 80%, it is more likely to rain. If the chance drops to 20%, then it may rain, but it probably will not rain. PROBABILITY
- 7. PROBABILITY What are some events that will never happen and have a probability of 0%? What are some events that are certain to happen and have a probability of 100%? What are some events that have equal chances of happening and have a probability of 50%?
- 8. PROBABILITY The probability of an event is written: P(event) = number of ways event can occur total number of outcomes
- 9. PROBABILITY P(event) = number of ways event can occur total number of outcomes An outcome is a possible result of a probability experiment When rolling a number cube, the possible outcomes are 1, 2, 3, 4, 5, and 6
- 10. PROBABILITY P(event) = number of ways event can occur total number of outcomes An event is a specific result of a probability experiment When rolling a number cube, the event of rolling an even number is 3 (you could roll a 2, 4 or 6).
- 11. PROBABILITY P(event) = number of ways event can occur total number of outcomes What is the probability of getting heads when flipping a coin? P(heads) = number of ways = 1 head on a coin = 1 total outcomes = 2 sides to a coin = 2 P(heads)= ½ = 0.5 = 50%
- 12. 1. What is the probability that the spinner will stop on part A? 2. What is the probability that the spinner will stop on (a) An even number? (b) An odd number? 3. What is the probability that the spinner will stop in the area marked A? AB C D 3 1 2 A C B TRY THESE:
- 13. PROBABILITY WORD PROBLEM: Lawrence is the captain of his track team. The team is deciding on a color and all eight members wrote their choice down on equal size cards. If Lawrence picks one card at random, what is the probability that he will pick blue? Number of blues = 3 Total cards = 8 yellow red blue blue blue green black black 3/8 or 0.375 or 37.5%
- 14. Donald is rolling a number cube labeled 1 to 6. What is the probability of the following? a.) an odd number odd numbers – 1, 3, 5 total numbers – 1, 2, 3, 4, 5, 6 b.) a number greater than 5 numbers greater – 6 total numbers – 1, 2, 3, 4, 5, 6 LET’S WORK THESE TOGETHER 3/6 = ½ = 0.5 = 50% 1/6 = 0.166 = 16.6%
- 15. 1. What is the probability of spinning a number greater than 1? 2. What is the probability that a spinner with five congruent sections numbered 1-5 will stop on an even number? 3. What is the probability of rolling a multiple of 2 with one toss of a number cube? TRY THESE: 21 3 4