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Probability

Independent and dependent. Probability. Composite event – consists of two or more simple events Independent Event – The outcome of one event does not affect the outcome of the other event. Independent Probability.

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Probability

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  1. Independent and dependent Probability

  2. Composite event – consists of two or more simple events Independent Event – The outcome of one event does not affect the outcome of the other event. Independent Probability

  3. A coin is tossed and a spinner is spun. What is the probability that we will toss heads and spin a blue? Example 1

  4. What is the probability of tossing a head? What is the probability of spun a blue? Example 1 (continue)

  5. Draw a tree diagram to demonstrate the sample space Example 1 (continue)

  6. What is the probability of tossing heads and spinning a blue? Example 1 (continue)

  7. The probability of two independent events can be found by multiplying of the first event and the probability of the second event P(A and B) = P(A) * P(B) Key Concept of Independent Probability

  8. A fair die is rolled and a spinner is spun. • What is the probability of having a 3 and spinning a red? • What is the probability of having a prime number and spinning a red? Practice 1

  9. A jar contains 3 candies: Red, green and blue. Iris is going to draw a candy randomly and then she replace the candy back to the jar. After that she is going to draw a candy again. Determine the probability that she will draw a red candy on the first time and a blue on the second time. Practice 2

  10. Independent Probability = With replacement Key Concept

  11. Dependent Event – The outcome of one event DOES affect the outcome of the other event. Dependent Probability

  12. Two marble are drawn successively without replacement from a box which contains 4 green marbles and 3 red marbles. Find the probability that Example

  13. P (first draw is green) = P (second draw is red) (a) the first marble drawn is green and the second is red;

  14. P (first draw is green then red) =

  15. (b) both marbles are red.

  16. Dependent Probability = Without replacement • The probability of two DEPENDENT events can be found by multiplying of the first event and the probability of the second event Key Concept

  17. A deck of card, what is the probability that you will draw a number four card on the first draw and then a black jack on the second draw? • Without putting it back • Putting it back Practice

  18. Independent Practice – dependent and independent probabilityTake out a notebook paper and put down name, date and period on the paper

  19. Jo has 2 pairs of black jeans, 3 pairs of blue jeans and 1 pair of tan jeans. He also has 4 white and 2 red shirts. If Jo choose a pair of jeans and shirt randomly, what is the probability that he will choose a pair of black jeans and a white T-shirt? • A jar contains 12 marbles. Four are red, three are white and 5 are blue. A marble is randomly selected, its color recorded, and then the marble is not going to return to the jar. A second marble is randomly selected. Determine the probability that the first draw is blue and the second draw is red. Independent Practice

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