Math-7 NOTES DATE: ______/_______/_______ What: probability of compound, dependent events Why: To calculate the probability of compound, dependent events. What: probability of compound, dependent events Why: To calculate the probability of compound, dependent events. NAME: Vocabulary: Two events are ______________________________ when the outcome of one event does NOT affect the outcome of the other event. Two events are ______________________________ when the outcome of one event DEPENDS on the outcome of the other. In other words, the first event ____________________________ the outcome of the second event. Trial without replacement... What if we did a Tootsie Pop pick, but did not put the tootsie pops back in the bag?? Trial : Picking two pops from a bucket, without replacing the first one... After 20 trials, how many times will a Grape and a Cherry get picked— P (Grape and Cherry)? Total # of pops: ___________ # of Grape: ___________ # of Cherry: __________ - Are these events independent or dependent? -Theoretical Probability (what should happen): -Experimental Probability (results): What about the Probability of choosing two Grapes in a row????

Examples continued... 2)Without replacing any letters, Jane will pick two letters from a bag containing the following choices: M-A-T-H-I-S-C-O-O-L Answer the following: a) P(M, then C) b) P(vowel, then consonant) c) P (two vowels in a row) d) P(two consonants in a row) e) P(O, then A)

DATE: ______/_______/_______NAME: ____________________________ 1.If there is one Queen of Hearts in a deck of 52 shuffled cards, what is the probability of drawing the Queen of Hearts, putting it back in the deck (replacing it), shuffling the deck, and then drawing the same card again? 2.If there are four Kings and four Jacks in a deck of 52 cards, what is the probability of drawing a King, putting it back in the deck (replacing it), shuffling the deck, and then drawing a Jack? 3.What is the probability of flipping heads on a coin and then flipping tails? 4.What is the probability of rolling a 3 on a six-sided number cube, and then flipping heads on a coin? 5.You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing a red marble, putting it back in the bag, and then drawing another red marble? 6.If there are four Kinds in a deck of 52 cards, what is the probability of drawing a King, putting it aside (without replacing), and then drawing another King? 7.Each letter in the word “MATH” is written on a card and put into a bag. What is the probability of drawing the “A,” keeping it (not replacing), and then drawing the “H”? 8.You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing a red marble, putting it aside, and then drawing another red marble? 9.You have a bag of 10 marble. Four are red and 6 are blue. What is the probability of drawing a blue marble, putting it aside (no replacement), and then drawing a red marble? 10.In a deck of 52 cards, half are black and half are red. What is the probability of drawing a black card, putting it aside (without replacing), and then drawing a red card? Independent Events: Dependent Events:

DATE: ______/_______/_______NAME: ________________________________