13.4 Probabilities of Compound Events.notebook May 29, I can calculate probabilities of compound events.
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1 13.4 Date: LT: I can calculate probabilities of compound events. nbp.13 Compound event = Combining two or more events, using the word and or the word or. or = Mutually exclusive events = Overlapping events = and = independent events = dependent events =
2 IF You downloaded 6 songs. You randomly choose 4 of these songs to play. Find the probability that you play the first 4 songs you downloaded in the order in which you downloaded them. You win 5 Tickets to a concert. In how many ways can you choose 4 friends out of a group of 9 to take with you to the concert?
3 Turn in Turn in
4 13.3 p.858(1 10, 15 20, 23 26) 2. combination, order is not important. Permutation, order IS important 16. Combinations order students picked does not matter; 8,214,570 groups 4. Each combinations is duplicated. Since order doesn't matter, AB and BA are the same Combinations order you answer?'s doesn't matter; 45 ways P r 6 C r ) )
5 13.4 Date: LT: I can calculate probabilities of compound events. nbp.13 Compound event = Combining two or more events, using the word and or the word or. or = Mutually exclusive events = Events with no common outcomes. Cannot happen simultaneously. Event A Event B Overlapping events = Events with at least one common outcome. Can happen simultaneously. Event A Event B and = independent events = The occurrence of one event has no affect on the outcome of the other. dependent events = The occurrence of one event affect the outcome of the other.
6 Mutually Exclusive Events: Events with no common outcomes. Cannot happen simultaneously. Overlapping Events: Events with at least one common outcome. Can happen simultaneously.
7 You roll a number cube. Find the probability that you roll a 2 or an odd number. Can the two outcomes happen at the same time? (Mutually exclusive events Overlapping events) P(A or B) = P(A) + P(B) P(A or B) = P(A) + P(B) P(A and B) P(2 or odd) =
8 You roll a number cube. Find the probability that you roll an even or a prime number. Can the two outcomes happen at the same time? (Mutually exclusive events Overlapping events) P(A or B) = P(A) + P(B) P(A or B) = P(A) + P(B) P(A and B) P(even or prime) =
9 Independent Events: The occurrence of one event has no affect on the outcome of the other. Dependent Events: The occurrence of one event has affect the outcome of the other. What is the probability of choosing a green marble and then a blue marble from the bag shown?
10 A box contains 2 blue pens and 5 red pens. You choose one pen at random, do not replace it, then choose a second pen at random. What is the probability that both pens are blue? Determine if there is replacement. (Independent events Dependent events) P(A and B) = P(A) P(B) P(A and B) = P(A) P(B given A) P(blue and blue) =
11 A box contains 2 blue pens and 5 red pens. What is the probability that both pens are blue, if the first pen is replaced? Determine if there is replacement. (Independent events Dependent events) P(A and B) = P(A) P(B) P(A and B) = P(A) P(B given A) P(blue and blue) =
12 CW 1) Complete Guided Practice 1 3 2) Check answers 3) Raise hand ( Spaeth ) 4) Complete HW 1 2 1) nbp.14 2) a) 3b)
13 HW nbp p.864(1-3, 5, 7, 9-16, 18-19, 21a, 24ab, 26-27, 30-34)
14 13.4 p.864 (1 3, 5, 7, 9 16, 18 19, 21a, 24ab, 26 27, 30 34) 2. Overlapping Events have one or more outcomes in common, mutually exclusive events have no common outcomes 10. Dependent, 1/ Dependent, 2/ a) about b) about / / / % combos
15 IMPORTANT NOTES: "or" situation add the probabilities Mutually Exclusive Events Overlapping Events "and" situation multiply the probabilities Independent Events Dependent Events
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