Lesson 3-6. Independent Event – 1st outcome results of probability DOES NOT affect 2nd outcome results Dependent Event – 1st outcome results of probability.

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Presentation transcript:

Lesson 3-6

Independent Event – 1st outcome results of probability DOES NOT affect 2nd outcome results Dependent Event – 1st outcome results of probability DOES affect 2nd outcome results

Independent Event = with replacing *means: denominator of fraction stays the same Dependent Event = without replacing *means: denominator of fraction changes

In a word game, you choose a tile from a bag containing letter tiles. You replace the first tile in the bag and then chose again. What is the probability of choosing an A and then choosing an E ? P (A) = P (E) = P (A and E) = P (A) P (E)

What is the probability of choosing an 0 and then choosing an I, with replacing? P (0) = P (I) = P (O and I) = P (O) P (I)

Suppose you play the word game again. This time you do not replace the first tile back into the bag, before choosing a second tile. What is the probability of choosing an A and then choosing an E ? P (A) = P (E) = P (A and E) = P (A) P (E)

What is the probability of choosing an E and then choosing an U, without replacing? P (E) = P (U) = P (E and U) = P (E) P (U)

Suppose you had a bag of candy with the following colors: 6 green, 3 orange, 10 yellow, 1 red What is the probability you will choose… a) P (green and red) with replacing? b) P (two oranges) with replacing c) P (yellow and red) without replacing? d) P (two greens) without replacing?

p. 137 #5-8, 11-16, 17-22