13.4 probabilities of compound events.notebook

13.4 Probabilities of Compound Events.notebook May 29, 2013

13.4 Date: LT:

nbp.13I can calculate probabilities of compound events.

Compound event =

Mutually exclusive events =

Overlapping events =

independent events =

dependent events =

Combining two or more events, using the word “and” or the word “or.”

“or”=

“and”=


IFYou 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?


1458

912

Turn inTurn in

1316


2. combination, order is not important. Permutation, order IS important

4. Each combinations is duplicated. Since order doesn't matter, AB and BA are the same.

6. 5

8. 1

10. 220

16. Combinations order students picked does not matter; 8,214,570 groups

18. Combinations order you answer ?'s doesn't matter; 45 ways

20. 6Pr ≥ 6Cr

13.3 p.858(110, 1520, 2326)

24) 37

26) 1 435

1 870


13.4 Date: LT:

nbp.13I can calculate probabilities of compound events.

Compound event =

Mutually exclusive events =

Overlapping events =

independent events =

dependent events =

Combining two or more events, using the word “and” or the word “or.”

Events with no common outcomes.‐Cannot happen simultaneously.

Event A Event B

Events with at least one common outcome.‐Can happen simultaneously.

Event A Event B

The occurrence of one event has no affect on the outcome of the other.

The occurrence of one event affect the outcome of the other.

“or”=

“and”=


Overlapping Events: • Events with at least one common outcome.• Can happen simultaneously.

Mutually Exclusive Events: • Events with no common outcomes.• Cannot happen simultaneously.


You roll a number cube. Find the probability that you roll a 2 or an odd number.

P(2 or odd) =

P(A or B) = P(A) + P(B) P(A or B) = P(A) + P(B) P(A and B)

(Mutually exclusive events Overlapping events)

Can the two outcomes happen at the same time?


You roll a number cube. Find the probability that you roll an even or a prime number.

P(even or prime) =

P(A or B) = P(A) + P(B) P(A or B) = P(A) + P(B) P(A and B)

(Mutually exclusive events Overlapping events)

Can the two outcomes happen at the same time?


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?


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?

P(blue and blue) =

Determine if there is replacement.

P(A and B) = P(A) P(B)

(Independent events Dependent events)

P(A and B) = P(A) P(B given A)


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?

P(blue and blue) =

Determine if there is replacement.

P(A and B) = P(A) P(B)

(Independent events Dependent events)

P(A and B) = P(A) P(B given A)


1) Complete Guided Practice13

2) Check answers3) Raise hand ( )4) Complete HW

33a)

3b)

16121

655

12 1)

2)

1323

nbp.14CW

Spaeth


nbp.15-1613.4

p.864(1-3, 5, 7, 9-16, 18-19, 21a, 24ab, 26-27, 30-34)

HW


2. Overlapping Events have one or more outcomes in common, mutually exclusive events have no common outcomes

10. Dependent, 1/21

12. Dependent, 2/15

14. 17/32

16. 1/31

18. 30%

24. a) about 0.092 b) about 0.58

26. 35/57

30. 60

32. 1

34. 45 combos

13.4 p.864 (13, 5, 7, 916, 1819, 21a, 24ab, 2627, 3034)


• "or" situation add the probabilities

IMPORTANT NOTES:

Mutually Exclusive Events Overlapping Events

Independent Events Dependent Events

• "and" situation multiply the probabilities

13.4 probabilities of compound events.notebook

Documents