Probability of a Single Event and Its Complement
The probability of flipping heads on a fair coin is 0.5. What is the probability of NOT flipping heads?
What is 0.5?
When flipping a coin, list the possible outcomes.
What are heads and tails?
Theoretical or experimental: Rolling a die and predicting the probability of getting a 3?
What is theoretical probability?
What is a simulation in probability?
What is a model or experiment that imitates a real-life situation?
Flipping a coin and rolling a number cube—independent or dependent?
What is independent?
If there is a 30% chance of rain tomorrow, what is the probability that it won’t rain?
What is 0.7 or 70%?
A spinner has 4 colors. What is the sample space?
What is {red, blue, green, yellow}?
You flip a coin 50 times and get heads 28 times. What is the experimental probability of heads?
What is 28/50 or 14/25?
A coin flip can simulate what type of event?
What is a 50/50 event?
You draw one card from a deck, do not put it back, and draw again. Are these events independent or dependent?
What is dependent?
You roll a standard die. What is the complement of rolling a 6?
What is rolling a 1, 2, 3, 4, or 5?
Roll a number cube and flip a coin. How many outcomes are in the sample space?
What is 12?
A spinner has 4 equal sections. Theoretically, what is the chance of landing on any one section?
What is 1/4?
Why might you use a simulation instead of doing a real-world experiment?
What is "it’s faster, cheaper, or safer"?
A bag has 3 red and 2 green marbles. Without replacement, what's the probability of drawing 2 red marbles?
What is 3/5 × 2/4 = 6/20 or 3/10?
A spinner has 8 equal sections, 3 of which are red. What is the probability of not landing on red?
What is 5/8?
Draw a card from a deck labeled A, B, and C, then roll a die. How many outcomes are in the sample space?
What is 18?
You roll a die 20 times and roll a 4 exactly once. Compare the experimental and theoretical probabilities of rolling a 4.
What is 1/20 vs. 1/6?
You simulate 200 rolls of a die and get 5 sixes. Estimate the probability of rolling a 6.
What is 5/200 or 0.025?
You roll two dice. What is the probability of getting a 3 on the first die and a 5 on the second?
What is 1/6 × 1/6 = 1/36?
A bag contains 4 red marbles, 3 green, and 3 blue. What is the complement of drawing a red marble?
What is 6/10 or 3/5?
A bag contains 3 red, 2 green marbles. You draw one marble and spin a 5-section spinner. What is the size of the sample space?
What is 10?
You spin a spinner 100 times and get green 40 times, even though it has 4 equal colors. Explain why experimental probability may differ from theoretical.
What is "due to chance or small sample sizes"?
Describe a simulation method to estimate how often someone forgets homework if they forget 10% of the time.
Describe a simulation method to estimate how often someone forgets homework if they forget 10% of the time.
A box has 6 pens (3 black, 3 blue). Without replacement, what's the probability of drawing 1 black and then 1 blue pen?
What is 3/6 × 3/5 = 9/30 or 3/10?