Probability of Compound Events Standards: MM1D2a. Find the probabilities of mutually exclusive events. b. Find the probabilities of dependent events. c. Calculate conditional probabilities.

Foldable Time! 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line.

2. Now, divide the right hand section into 4 sections by drawing 3 evenly spaced lines. 3. Use scissors to cut along your drawn line, but ONLY to the crease! The fold crease

4. Write COMPOUND EVENTS down the left hand side

5. Fold over the top cut section and write MUTUALLY EXCLUSIVE EVENTS on the outside. 6.On the remaining 3 flaps, write: OVERLAPPING EVENTS INDEPENDENT EVENTS and DEPENDENT EVENTS

Compound Event Combines two or more events, using the word AND or OR

Mutually Exclusive Events Events that have no common outcomes Formula:

Overlapping Events Events that have at least one common outcome Formula:

Independent Events Events that have no effect on each other Formula:

Dependent Events Events where the occurrence of one affects the occurrence of another Formula:

Conditional Probability Used with DEPENDENT events: The probability that one event will occur given that another event has already occurred. EX. The probability of B given A; Key Concept: NON-REPLACEMENT

Example 1

You Try!

Example 2

You Try!

Example 3

You Try!

Classify the compound events given below as either independent or dependent Rolling a die, then rolling a second die Drawing a card for a hand of poker, then drawing another card Picking a prize from a grab bag, then picking another Spinning a $100 slice on Wheel of Fortune, then spinning another $100 slice