1. Section 14.5 – Independent vs. Dependent Events

2. Repetition NOT allowed
Independent
Dependent
Roll a Die Twice
Draw two cards
with replacement
Draw two cards
without replacement
Choose two letters
Repetition allowed
Choose two letters
Repetition NOT allowed
Consistent Denominator
For each individual trial
Denominator Reduces
For each individual trial

3. Find the probability that a four digit number created from the
digits 2, 4, 5, 8 is less than Assume repetition is not
allowed.
A ball contains three red balls, two blue balls, and one white
ball. If two are drawn and replacement is allowed, find the
probability that both are red.

4. A ball contains three red balls, two blue balls, and one white
ball. If two are drawn, find the probability that both are red.
Two die are rolled. Find the probability that their sum is 9. X X

5. Two die are rolled. Find the probability that neither is a 5.
Independent vs. Dependent Events Rule of Thumb
Do the event twice
On the second time of event, check number of possibilities
If the same…..independent…separate fractions
If different……dependent…...single fraction….
most likely combinations to be used