In this Kentucky Derby–themed activity, you will practice converting between probability forms (fractions, decimals, percents) and odds in favor. Focus on what the numbers mean about likelihood, and show your reasoning when asked.
Derby horse Bluegrass Bolt has a 25% chance to win.
What is the probability as a fraction in simplest form?
Mint Julep Jet has a probability of winning of 0.12.
Write this probability as a percent.
For odds in favor of a horse, odds of 3 to 2 mean the probability of winning is greater than 50%.
Churchill Charger has odds in favor of 3:2.
What is the probability that Churchill Charger wins?
Derby Dazzle has odds in favor of 1:4.
What is the probability that Derby Dazzle wins?
Which of the following probabilities are greater than 0.20 (20%)?
Select all that apply.
**Saffron Sprint** has odds in favor of **5:3**. The probability that Saffron Sprint wins is
Match each odds in favor value to its probability of winning.
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
3:1 | arrow_right_alt | 1/2 |
2:3 | arrow_right_alt | 1/4 |
1:1 | arrow_right_alt | 2/5 |
1:3 | arrow_right_alt | 3/4 |
Put these probability representations in order from least likely to most likely (for a horse to win).
0.2
0.3
1/4
15%
**Twin Spires Spark** has odds in favor of **2:5**. The probability of winning is and the probability of not winning is .
Sort each horse into the correct category based on its probability of winning.
70%
0.1
0.42
0.51
5/8
0.6
49%
0.50
1/2
3/8
Less than 50%
Exactly 50%
Greater than 50%
Paddock Prince has a probability of winning of 0.04.
Which odds in favor are equivalent to this probability?
Run for the Roses has odds in favor of 7:1.
Write the probability of winning as a percent (nearest whole percent).
Your class makes probability estimates for four Derby horses (fictional):
Riverbend Rocket: 0.30
Bourbon Breeze: 0.25
Saddle Satin: 0.20
Oaklawn Echo: 0.15
Do these probabilities form a valid probability model for “who will win”? Explain why or why not.
If they are not valid, describe one way to fix them.
Two horses have these probabilities of winning:
Thoroughbred Thunder: 0.40
Frontstretch Flash: 35%
Which statement is true?
If a horse has a probability of winning of 0.60, then the odds in favor are 3:2 (in simplest whole-number form).
Backstretch Blaze has odds in favor of 9:6.
What is the probability of winning as a decimal? (Round to the nearest hundredth.)
A student says: “Odds in favor of 4:1 means the horse wins 4 out of 5 times.”
Is the student correct?
Finish Line Fury has odds in favor of 3:7.
Which statements are true? Select all that apply.
Louisville Legend has a 1/8 chance to win.
Write the probability as a decimal.