Bell Ringer What is the probability of pulling

Bell Ringer • What is the probability of pulling the following from a standard deck of cards? • • • The Ace of Spades A heart A red queen A black number card The ten of clubs A card higher than 2

Probability of Compound Events Mr. Haupt CC. 2. 1. 8. E. 1

Independent Events • Events that do NOT influence one another. • What are the odds of rolling a 2 on a dice and flipping a coin and getting heads? • Most of the time, you can tell if it is independent if you are replacing your first choice before choosing the second. • Example: The probability of choosing a heart from a deck of cards, replacing it, and then choosing a spade. • The rule for finding probability of independent events. • P(A and B) = P(A) * P(B)

Dependent Events • Events that influence one another. • You do not replace the first choice before picking the second one, and so the odds of your second pick are altered. • You have a box of chocolates (are you Gump? ), there are 21 and there are 7 each of three kinds, PB, Coconut, and Carmel. Find the probability of picking a PB, eating it, and then picking a Carmel. Don’t eat the coconut ones, they’re gross. • The rule for dependent events: • P(A then B) = P(A) * P(B after A)

Example Time! • It’s like Adventure Time but with more math! (And less adventure…) • You have a blue dice and a green dice, what is the probability of: • • • P(blue 1 and green 1) P(blue even green even) P(blue and green both less than 6) P(blue 6 and green 7) P(blue 1 or 2 and green 1 or 2)

Example Time! 2. 0 • The same great quality you trust with an all new flavor! • Find the probability of selecting letter tiles from the word below. You do NOT replace the tile before picking a second one. • P • • R O B A B P(vowel then vowel) P(I then I) P(consonant then vowel) P(A then A) I L I T Y