10.6 Dependent Events10.6 Dependent Eventsandand

Conditional ProbabilityConditional Probability

Objective: Find conditional Objective: Find conditional probabilities.probabilities.

KNOWING THE OUTCOME

OF ONE EVENT CAN

AFFECT THE PROBABILITY

OF ANOTHER EVENT

SOMETIMES THE PROBABILITY OF THE SECOND EVENTCHANGES DEPENDING ON THE OUTCOME OF THE FIRST EVENT.

AN ADDITION TO THE NOTEPACKET:

AN ADDITION TO THE NOTEPACKET:

.75

.6

1/12

.1554

.30

Writing ActivitiesWriting Activities

PSSA WARM-UP QUESTION PSSA WARM-UP QUESTION Algebra II – Chp. 10Algebra II – Chp. 10

Standard 2.7.11 A Compare odds and probabilityStandard 2.7.11 A Compare odds and probability

Odds and probability both express the chance of Odds and probability both express the chance of something happening. What is the probability that something happening. What is the probability that

Charlie will pick a king from a standard 52-card Charlie will pick a king from a standard 52-card deck? What are the odds in favor? If Charlie has a deck? What are the odds in favor? If Charlie has a

25% chance of picking a diamond, what are the 25% chance of picking a diamond, what are the odds against?odds against?

Complete the following steps below:Complete the following steps below:

1). Find the probability of an event.1). Find the probability of an event.

2). Find the odds in favor of an event.2). Find the odds in favor of an event. (# of favorable outcomes: # of unfavorable outcomes)(# of favorable outcomes: # of unfavorable outcomes)

3). Determine the odds against an outcome, given the 3). Determine the odds against an outcome, given the probability.probability. (# of unfavorable outcomes: # of favorable outcomes)(# of unfavorable outcomes: # of favorable outcomes)

Review of Dependent EventsReview of Dependent Eventsand Conditional Probabilityand Conditional Probability