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Simple Probability

Simple Probability. The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. What is the probability that a card drawn at random from a deck of cards will be an ace?.

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Simple Probability

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  1. Simple Probability

  2. The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

  3. What is the probability that a card drawn at random from a deck of cards will be an ace? Since of the 52 cards in the deck, 4 are aces, the probability is 4/52 or 1/13.

  4. The same principle can be applied to the problem of determining the probability of obtaining different totals from a pair of dice. As shown below, there are 36 possible outcomes when a pair of dice is thrown.

  5. What is the probability of throwing a total greater than 8?

  6. Calculate the probability of fewer than 5 sales.

  7. What is the probability of at least one sale?

  8. Calculate the probability of 5 to 9 sales inclusive.

  9. A biased die has the following probabilities of facing upwards.

  10. Which number is most likely to be facing upwards after this die is tossed?

  11. Calculate the value of k. 0.05

  12. What is the probability that the number facing up is odd? 0.55

  13. What is the probability that the number facing up is even or a multiple of 3? 0.60

  14. Exercise 1.1

  15. Assume that there are n people in the room. Ignoring leap years, what is the probability that no one else in the room shares your birthday?

  16. Assume that there are 253 people in the room. Ignoring leap years, what is the probability that no one else in the room shares your birthday?What is the probability that someone else in the room shares your birthday?

  17. Assume that there are n people in the room. Ignoring leap years, what value of n (most closely) makes the probability that someone else shares your birthday (1/n)?

  18. Assume that there are n people in the room. Ignoring leap years, what value of n (most closely) makes the probability that someone else shares your birthday (1/n)? Graphics calculator n = 19

  19. Assume that there are n people in the room. Ignoring leap years, what value of n (most closely) makes the probability that two people in the room share birthdays equal to 0.5?

  20. Assume that there are n people in the room. What value of n (most closely) makes the probability that two people in the room were born on the same day of the week equal to 0.5?

  21. Do you think this is true?

  22. Are we making some assumptions when we make these calculations?

  23. What assumption are we making?

  24. Is it a fair assumption?

  25. Venn Diagrams

  26. R

  27. R’

  28. R + R’= 1

  29. P(R)+ P(R’)= 1

  30. Combining

  31. AND

  32. OR

  33. ?

  34. ?

  35. ?

  36. ?

  37. AND

  38. If R and G are independent

  39. OR

  40. Write this in another way.

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