Independent & Dependent Events (MOD)

Is the event Dependent or Independent?
Rolling a die twice
(Hint:Does what you roll the first time have anything to do with what you can roll the second time?)

• YES: Dependent
• NO: Independent

Is the event Dependent or Independent?
Tossing a coin and spinning a spinner
(Hint: Does tossing a coin affect what you can spin on a spinner?)

• YES: Dependent
• NO: Independent

A bag contains red and blue marbles. First a red marble is drawn and then, without replacing the first marble, a blue marble is drawn. Are the two events Dependent or Independent?
(Hint: Does NOT replacing a marble affect what you can pick the second time?)

• NO: Independent
• YES: Dependent

Is the event Dependent or Independent?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.
(Hint: Does NOT replacing the first card affect what can be picked next?)

•  NO: Independent
• YES: Dependent

What is the probability of rolling a dice and landing on a four, and then rolling the dice again and landing on any even number?
 
# of sides with a four/6  ∙ # of sides with even number/6
(Hint: multiply the fractions using the ABC button on calculator)

• 1 ⁄ 12
• 1 ⁄ 8

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. What is the probability that both times it is a nickel?
?/13 ∙ ?/13

• 36/169
• 2/7

There are 40 ants total in a man's collection. He has 22 fire ants, 13 sugar ants and 5 carpenter ants. Find the probability of selecting a carpenter ant, and then without replacing it, selecting a fire ant. 
?/40 ∙ ?/39 

• 11/156
• 30/121

 Find the probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it and selecting another black. 
?/10 ∙ ?/10
(Hint: Multiply fractions. DIVIDE to turn into a decimal.  Multiply decimal by 100.)

• 25%
• 36%

The spinner is spun twice.  What is the probability that it lands on white first and then blue?
?/3 ∙ ?/3

• about 11%
• 25%

Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors. 
?/2 ∙ ?/6

• 3/7
• 2/9
• 1/12