Independent OR Dependent
Alex flips a coin and it lands heads up and then pulls a face card from a deck of 52 cards. Are these events independent or dependent?
Independent
A coin is flipped three times. What is the probability of getting all heads?
1/8
Ms. Stanley has a bag of 15 marbles. 3 are blue, 6 are red, and 6 are yellow. What is the probability that she picks a yellow and then a red if she does not replace the marbles?
6/35
A basket contains three apples, three peaches, and four pears. Aminata randomly select a piece of fruit. Find the probability that it is an apple or a peach.
3/5 = 0.6
From a deck of 52 cards, in how many ways can Davon draw 7 of them? (Hint: Order does NOT matter).
52C7 = 133,784,560
Tatiana draws aces consecutively from a deck of 52 cards without replacement. Are these events independent or dependent?
Dependent
You roll a 1-6 number cube twice. What is the probability that you roll a 3 on the first roll and a 6 on the second roll?
1/36
Bob has a set of 10 colored markers in a backpack. One is yellow and one is blue. What is the probability Bob will reach into the backpack without looking and grab the yellow marker and then reach in a second time and grab the blue marker?
1/90
A box contains three red playing cards numbered one to three. The box also contains five black playing cards numbered one to five. Sascha randomly picks a playing card. Find the probability that it is black or has an odd number.
7/8 = 0.875
How many basketball teams of 6 players can Mr. Urena form from 14 players without regard to position played?
14C6 = 3,003
Myles draws 3 cards at random and all of them are aces. He replaces each card between each drawing. Are these events independent or dependent?
Independent
A set of eight cards is labeled with the numbers 1 through 8. A card is chosen, replaced, and a second card is chosen. What is the probability that both cards will be even numbers?
1/4
A school cafeteria has 3 containers of white milk, 5 containers of chocolate milk and 2 containers of apple juice left. Iliana is first in line and Vishal is second. If the drinks are given out randomly, what is the probability that Iliana will get chocolate milk and Vishal will get apple juice?
1/9
A cooler contains twelve bottles of sports drink: four lemon-lime flavored, five orange flavored, and three fruit-punch flavored. Henry randomly grabs a bottle. Find the probability it is a lemon-lime or an orange.
ME: 3/4 = 0.75
How many ways can Ayuba introduce the five starting baseball players on HVAH's team at the beginning of the next game if there are only 5 players on the team?
5P5 or 5! = 120
Izzy draws 3 cards at random and all of them are aces. Each card was not replaced between each drawing.
Dependent
A cooler contains 5 cans of diet cola, 6 cans of regular cola, and 4 cans of grape soda.
Maguette randomly selects a can from the cooler to drink. Then Daniela randomly selects a can from the cooler to drink. What is the probability that both Maguette and Daniela will select diet cola?
2/21 or 0.095
A birthday party has a grab bag for each of the guests. There are 8 bags filled with candy, 5 containing CDs, and 2 grand prize bags with gift certificates. The bags are identically wrapped and shuffled. Joe is first to choose a bag, and Devon is second. What is the probability that Joe and Devon will both choose grand prize bags?
1/105
There are ten shirts in Jaden's closet, four blue and six green. Two of the blue shirts and five of the green shirts fit well. The others are too big. Jaden randomly select a shirt to wear. Find the probability it is blue or is too big.
NME: 1/2
Five representatives from HVAH's student senate of 7 students are to be chosen for a field trip to ABC News. In how many ways can the students be chosen? (Hint: The order does not matter, only the combinations.)
7C5 = 21
You have 3 red marbles and 3 blue marbles in a bag, if 2 blue marbles are picked out of the bag without being replaced, is it Independent or Dependent?
Dependent
Aaliyah is picking cards from a deck. What is the probability that she picks 3 aces in a row if she replaces the cards?
1/2197 or 0.00045
Ms. Planz is picking cards from a deck. What is the probability that she picks three aces in a row if she does not replace the cards?
1/5525
There are three nickels, three dimes, and three quarters in Princeton's pocket. He randomly pick a coin. Find the probability it is a nickel or a dime.
ME: 2/3
A school librarian would like to buy subscriptions to 7 new magazines. Her budget however, will allow her to buy only 4 subscriptions. How many different groups of 4 magazines can she choose from the 7?
7C4 = 35