Dependant and independent probabilities. Introduction to calculating probabilities involving "OR" and "AND".

1. Types of Probability
Einstein Was Wrong
why?
because!

2. A coin is flipped twice. Draw a tree diagram of the sample space
and list the probabilities of each outcome.

3. A marble is drawn, not replaced and a second marble is
drawn from a bag containing 3 red and 3 blue marbles.
What is the probability that the second marble is blue?

4. A marble is drawn, replaced and a second marble is
drawn from a bag containing 3 red and 3 blue marbles.
What is the probability that the second marble is blue?

5. Independent Events
Events in which the outcome of one event does not affect the
outcome of the other event.
Dependent and independent probabilities ...
A bag contains 6 marbles, 3 red and 3 blue. A marble is chosen at
random and then REPLACED back in the bag. A second marble is
selected, what is the probability that it is blue?

6. Dependent Events
If the outcome of one event affects the outcome of another
event, then the events are said to be dependent events.
Dependent and independent probabilities ...
A bag contains 6 marbles, 3 red and 3 blue. A marble is chosen at
random and NOT REPLACED back in the bag. A second marble is
selected, what is the probability that it is blue?

7. Identify each of the following as experiments involving dependent in
independent events.
Drag and Drop Your Answer
INDEPENDENT DEPENDENT
(a) Toss a coin and roll a die six.
INDEPENDENT
(b) Draw 2 cards from a 52 card deck, without replacement.
DEPENDENT
(c) Draw 2 cards from a 52 card deck, with replacement.
INDEPENDENT

8. A coin is flipped three times. Draw a tree diagram of the sample
space and list the probabilities of each outcome.

9. In a family of 3 children, with boys and girls equally likely to be
born, what is the probability that exactly 2 kids are girls?

10. Two marbles are drawn. If the 1st marble is blue it is
discarded and replaced with a red. Similarly, if the 1st
marble is red it is discarded and replaced with a blue one.
What is the probability that the second marble is blue?

11. Two marbles are drawn. If the 1st marble is blue it is
discarded and replaced with a red. Similarly, if the 1st
marble is red it is discarded and replaced with a blue one.
What is the probability that the second marble is blue?