Independent or Dependent?
Rolling a dice and drawing a random card from a Standard Deck
Independent
A soccer coach has received some new sweaters and shorts for their soccer team to wear. The colour of the sweaters are yellow, green and blue, while the shorts are black, red and brown. How many options are there?
9 Options
What is the probability of getting a Head when tossing a coin?
1/2
Three cards are drawn from a Standard Deck and not replaced. What is the probability of drawing three black cards?
2/17
In a group of 56 people, 43 people like gummy candy while 39 people like chocolate. How many people like both?
26 people
Choosing a card from a Standard Deck, not replacing it and choosing another card
Dependent
A baseball team has 7 pitchers and 3 catchers. How many batteries consisting of a pitcher and a catcher can the coach select?
8 Batteries
In a bag there are 12 balls: 4 red, 3 yellow, 2 blue and 3 green. If a ball is chosen, returned to the bag and then another ball is chosen, what is the probability of two blue balls?
1/36
In a shipment of 20 computers, 3 are defective. Three computers are randomly selected and tested. What is the probability that all three are defective if the first and second ones are not replaced after being tested?
1/1140
In a class, 17 students enjoy baking while 12 students enjoy hiking. If 4 students like both, how many students are in the class?
25 students
Its raining, so the parade was cancelled
Dependent
You are off to soccer, and love being the Goalkeeper, but that depends who is the Coach today: with Coach Sam the probability of being Goalkeeper is 0.5; with Coach Alex the probability of being Goalkeeper is 0.3. Sam is Coach more often, about 6 out of every 10 games (a probability of 0.6).
So, what is the probability you will be a Goalkeeper today?
42% chance
A box contains 12 balls: 3 black, 4 blue and 5 green. A ball is chosen from the box, replaced and another one is chosen. What is the probability that ones of the balls drawn is black and the other is green?
5/24
A card is drawn from a Standard Deck, not replaced and another card is drawn. What is the probability of two Jacks being drawn?
1/221
A survey determines that 32% of a population enjoys Indian food, while 45% enjoy Chinese Takeout. If 37% of the population likes neither, what is the percentage that someone will like both?
14%
You vote for a Liberal representative, I vote for a Green Party representative
Independent
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. Calculate the probability that Paul picks a black ball in his second draw
3/8
What is the probability of getting a 4 or 6 when rolling a die?
1/3
Three cards are chosen at random from a deck of 52 cards without replacement. What is the probability of choosing 3 aces?
1/5,525
There are 5 people in the Smith Family; two parents are their three kids. If you go to visit them, how many possible combinations might you find them at home?
32 combinations
You take a ball out of a bag, don't replace it and take another ball
Dependent
A box contains 4 red and 2 blue chips. A chip is drawn at random and then replaced. A second chip is then drawn at random. Calculate the probability of getting at least one blue chip
5/9
When a coin is tossed and a six-sided dice is rolled, what is the probability of a Head and a Prime Number?
1/4
A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack?
4/663
The probability of having attached earlobes is 0.56, and the probability of of being double-jointed is 0.24. If 7% of the population has both, what is the chance of a person having neither?
27%