Transcript Probability of Compound Events

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