precalc probability 2014
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A. What is the chance that the sun will come up tomorrow? B. What is the chance that, while you are sleeping, your bed will �C. turn to chocolate? D. What is the chance that it will rain today? �E. What is the chance that the temperature will reach at least 70°F �
today? F. What is the chance that you will have homework tomorrow
night?G. Come up with one of your own events.
Algebra 2 Warm up3.11.13
Directions: Place each event on the scale according to how likely it is to happen
Probability
The chance or likelihood of an event happening
A probability is a number between 0 and 1.0 = impossible1 = Certain
Who invented Probability?
PascalFermat
1600’s – Games of Chance
Theoretical vs. Experimental Probability
• Theoretical Probability - What we expect to happen based on mathematics.
• Experimental Probability – What actually does happen
The great number of times you perform an experiment, the closer the 2 become.
How do we calculate Theoretical Probability.
• Probability =
• Ex: Probability of getting HEADS in a coin toss.
Probability of getting the sum of 7 when rolling 2 dice:
Practice1. 2 dice are rolled.
a. Find the probability that the sum of the numbers is 10 b. The sum is at least 10
2. A letter is selected at random from the word TRIANGLE.a. Find the probability of selecting a vowelb. Find the probability of selecting a letter between F and Q.
Compliment
• The probability of an event NOT happening.• Remember the total probabilities add to 1.
Let P(A) = probability of event A
1 - P (A) = probability of event A NOT happening
Examples
2 possible scenarios
• 2 coins are tossed. Find the probability of:– A. Both showing heads– B. Both coins matching– C. There is at least one tails.
Example 2• A stack of 26 cards consists of the hearts and clubs only.
A card is randomly drawn. Find the probability that it is: A. A king B. A diamond C. A club D. A 7 or 8 E. A Red Ace
Example 2• A stack of 26 cards consists of the hearts and clubs only.
A card is randomly drawn. Find the probability that it is: A. A king B. A diamond C. A club D. A 7 or 8 E. A Red Ace
Without replacement.• A bag contains 2 purple, 3 green, and 4 blue marbles. 2 marbles are drawn at random. Find the probability of A. Both being green B. One is Green and one is Blue.