Independent and Dependent Events
True or False: The following scenario is an independent event-
A sock is chosen from a basket of clothes. Another sock is chosen without replacing the first sock.
False
There are 2 green, 1 red, 6 purple, and 6 yellow paper clips in the drawer. If Miss Bollinger chooses a paper clip at random, what is the probability she will choose a purple one?
2/5
What is the probability of flipping a coin 5 five times in a row, and landing on heads every time?
1/32
If a number cube is rolled, what is the probability of rolling a number greater than 1?
5/6
You have 20 shirts in your closet. You have 3 black shirts, 4 white shirts, and 13 multi-colored shirts. What is the probability you pick a black shirt from your closet?
3/20
Cory gets a Gatorade out of the soda machine, drinks it, and gets another one. Which event best describes the example?
Dependent Event
There are 10 vehicles at the grocery store. There are 3 trucks, 2 motorcycles, and 5 cars. What is the probability that the next person who leaves the store drives a motorcycle?
1/5
What is the probability of rolling a number cube and getting a 6 and rolling it again and rolling an odd number?
1/12
If a number cube is rolled, what is the probability of rolling a number greater than 6?
0/6 = 0
A miniature golf course recently provided its customers with 12 golf balls, of which 4 were pink. What is the experimental probability that the next customer will receive a pink golf ball?
1/3
Is this an independent or dependent event? A marble is selected from a bag with no replacement. A second marble is selected from the same bag.
Dependent Event
Mr. Sieloff is having a baking competition with his family. He makes 4 cupcakes, his wife makes 7 cookies, and his children make 7 brownies. If he gives a baked good away at random, what is the probability it will be a cupcake? Write is as a percentage.
22% or 22.2%
A box contains six cards numbered 1, 2, 3, 4, 5, 6. Mark draws a card and does not replace it back in the box. What is the probability of drawing a 2 and then an even number?
1/15
Anna has 24 cards. 18 of the cards are orange and the rest are yellow. What is the probability of Anna NOT choosing an orange card?
1/4
You order a large pizza to share with your friends. The pizza is 8 slices total. Half of the pizza (4 slices) is buffalo chicken and half of the pizza (4 slices) is cheese. What is the probability of picking a slice of buffalo chicken, eating it, and then picking a slice of cheese?
2/7
Is this an independent or dependent event?
A set of dice was rolled two times.
Independent Event
Ms. Marbury was drafting her fantasy football team. She had the option between 8 quarterbacks, 4 linemen, 3 running backs, and 5 kickers. If she randomly selected a player, what is the probability of her choosing a linemen? Write this as a percentage.
20%
A bag contains 6 red marbles, 8 blue marbles, and 6 white marbles. If one marble is selected at random from the bag and NOT replaced, what is the probability that it will be red and then red?
3/38
Meg surveyed some students at her school about their favorite professional sports. Of the students surveyed, 2 said football was their favorite sport, while 8 of the students had other favorite sports. What is the experimental probability that the next student Meg talks to will pick football?
1/5
While playing a card game, you draw two cards from a deck. What is the probability that you will pick a black card first and a black card second, if you do not replace the first card.
25/102