01_Probability of Simple Events.pptx math 10

math 10 powerpoint

1. Probability of Simple Events

2. Probability of Simple Events Vocabulary: Outcome – one possible result of a probability. Sample Space – the list of possible outcomes for a probability event. Random – outcomes that occur at random if each outcome is equally likely to occur. Simple Event – a specific outcome or type of outcome. Complementary Events – the events of one outcome happening and that outcomes not happening are complimentary; the sum of the probabilities of complementary events is 1.

3. Real World Example : Best Buy is having an IPOD giveaway. They put all the IPOD Shuffles in a bag. Customers may choose an IPOD without looking at the color. Inside the bag are 4 orange, 5 blue, 6 green, and 5 pink IPODS. If Maria chooses one IPOD at random, what is the probability she will choose an orange IPOD? Probability of Simple Events

4. Real World Example : Best Buy is having an IPOD giveaway. They put all the IPOD Shuffles in a bag. Customers may choose an IPOD without looking at the color. Inside the bag are 4 orange, 5 blue, 6 green, and 5 pink IPODS. If Maria chooses one IPOD at random, what is the probability she will choose an orange IPOD? P(orange) = 4 / 20 = 2 / 10 = 1 / 5 or 20% Probability of Simple Events

5. What is a PROBABILITY ? - Probability is the chance that some event will happen - It is the ratio of the number of ways a certain event can occur to the number of possible outcomes Probability of Simple Events

6. What is a PROBABILITY ? number of favorable outcomes number of possible outcomes Examples that use Probability : (1) Dice, (2) Spinners, (3) Coins, (4) Deck of Cards, (5) Evens/Odds, (6) Alphabet, etc. Probability of Simple Events P(event) =

7. What is a PROBABILITY ? 0% 25% 50% 75% 100% 0 ¼ or .25 ½ 0r .5 ¾ or .75 1 Impossible Not Very Equally Likely Somewhat Certain Likely Likely Probability of Simple Events

8. Example 1 : Roll a dice. What is the probability of rolling a 4? # favorable outcomes # possible outcomes 1 6 The probability of rolling a 4 is 1 out of 6 Probability of Simple Events P(event) = P(rolling a 4) =

9. Example 2 : Roll a dice. What is the probability of rolling an even number? # favorable outcomes # possible outcomes 3 1 6 2 The probability of rolling an even number is 3 out of 6 or .5 or 50% Probability of Simple Events P(event) = P(even #) = =

10. Example 3 : Spinners. What is the probability of spinning green? # favorable outcomes # possible outcomes 1 1 4 4 The probability of spinning green is 1 out of 4 or .25 or 25% Probability of Simple Events P(event) = P(green) = =

11. Example 4 : Flip a coin. What is the probability of flipping a tail? # favorable outcomes # possible outcomes 1 1 2 2 The probability of spinning green is 1 out of 2 or .5 or 50% Probability of Simple Events P(event) = P(tail) = =

12. Example 5 : Deck of Cards. What is the probability of picking a heart? # favorable outcomes 13 1 # possible outcomes 52 4 The probability of picking a heart is 1 out of 4 or .25 or 25% What is the probability of picking a non heart? # favorable outcomes 39 3 # possible outcomes 52 4 The probability of picking a heart is 3 out of 4 or .75 or 75% Probability of Simple Events P(heart) = = = P(nonheart) = = =

13. Key Concepts : - Probability is the chance that some event will happen - It is the ratio of the number of ways a certain even can occur to the total number of possible outcomes Probability of Simple Events

14. Guided Practice : Calculate the probability of each independent event. 1) P(black) = 2) P(1) = 3) P(odd) = 4) P(prime) = Probability of Simple Events

15. Guided Practice : Answers. 1) P(black) = 4 / 8 2) P(1) = 1 / 8 3) P(odd) = 1 / 2 4) P(prime) = 1 / 2 Probability of Simple Events

16. Independent Practice : Calculate the probability of each independent event. 1) P(red) = 2) P(2) = 3) P(not red) = 4) P(even) = Probability of Simple Events

17. Independent Practice : Answers. 1) P(red) = 1 / 2 2) P(2) = 1 / 4 3) P(not red) = 1 / 2 4) P(even) = 1 / 2 Probability of Simple Events

18. Real World Example : A computer company manufactures 2,500 computers each day. An average of 100 of these computers are returned with defects. What is the probability that the computer you purchased is not defective? P(not defective) = # not defective = 2,400 = 24 total # manufactured 2,500 25 Probability of Simple Events

19. 1. What is the probability that the spinner will stop on part A? What is the probability that the spinner will stop on An even number? An odd number? 3. What is the probability that the spinner will stop in the area marked A? A B C D 3 1 2 A C B Try These:

20. 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? yellow red blue blue blue green black black 3/8 or 0.375 or 37.5%

21. 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%

22. 1. What is the probability of spinning a number greater than 1? 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 dice to have multiple of 2? Try These: 2 1 3 4