Probability & Odds

Definition of Odds: The odds of an event occurring is the ratio of the number of ways the event can occur (successes) to the number of ways the event cannot occur (failures).

Odds = successes : failures

For example, out of 25 people, 10 are teens. The odds that a person is a teen would be 10 (successes) to 15 (failures) [Odds (teens)=10:15 or 2:5]


In your math notebook, complete the following questions for probability and odds.

CANDY MATH

Scénarios des situations dangereuses

Contenus d’apprentissage 

C1.2 - identifier des comportements associés aux blessures et au décès chez les adolescents et identifier les précautions possibles.
C2.2 - analyser des situations qui présentent des dangers pour sa sécurité personnelle et identifier des moyens de réduire les
risques qui y sont associés.

Critères de succès pour les scénarios: 

Le discours était clair avec le volume et l’inflexion appropriés. 

Le rôle a été joué de façon convaincante et cohérente.  

Le jeu de rôle était bien préparé et organisé. 


Le jeu de rôles a capté et maintenu l’intérêt de l’auditoire.

Experimental Probability & Odds

Use the table below to compute the experimental probability of the arrow in the spinner landing on yellow.

Spinner

trial	1	2	3	4	5	6	Total
number of times arrow landed on yellow
total number of spins
Experimental probability

1. How many favorable outcomes were there in the experiment?

2. How many total outcomes were there in the experiment?

3. What is the experimental probability of the arrow landing on yellow?

ODDS 

Review questions

1. For rolling a number cube, what are the odds in favor of rolling a 2?

2. For rolling a number cube, what are the odds against rolling a 2?

3. For rolling a number cube, what are the odds in favor of rolling a number greater than 3?

4. For rolling a number cube, what are the odds in favor rolling a number less than 5?

5. For rolling a number cube, what are the odds against rolling a number less than 5?

6. For rolling a number cube, what are the odds in favor of rolling an even number?

7. For rolling a number cube, what are the odds against rolling an even number?

For a spinner numbered 1 –10, answer the following questions.

8. For spinning the spinner, what are the odds in favor of the arrow landing on 10?

9. For spinning the spinner, what are the odds in favor of the arrow landing on a 2 or 3?

10. For spinning the spinner, what are the odds in favor of the arrow landing on 7, 8 or 9?

11. For spinning the spinner, what are the odds in favor of NOT landing on an even number?

12. For spinning the spinner, what are the odds of the arrow NOT landing on 10?

13. For spinning the spinner, what are the odds in favor of the arrow landing on a number greater than 2?

14. For spinning the spinner, what are the odds in favor of the arrow NOT landing on a number greater than 2?

15. For spinning the spinner, what are the odds of the arrow not landing on a number greater than 3?

L'heure de génie: phase passion/but

Probability problems

Keisha’s basketball team must decide on a new uniform. The team has a choice of black shorts or gold shorts and a black, white, or gold shirt.
Use a tree diagram to show the team’s uniform choices.
a) What is the probability the uniform will have black shorts?
b) What is the probability the shirt will not be gold?
c) What is the probability the uniform will have the same-coloured shorts and shirt?
d) What is the probability the uniform will have different-coloured shorts and shirt?



In pairs, on a whiteboard, create the tree diagram for the following problem (use a second whiteboard to show answer to probability questions)

Brit goes out for lunch to the local submarine sandwich shop. He can choose white or whole wheat bread, and a filling of turkey, ham, veggies, roast beef, or salami. Use a tree diagram to show all Brit’s possible sandwich choices.


Use the tree diagram to answer the following questions
a) How many sub choices are there?
b) He may also choose a single topping of tomatoes, cheese, or lettuce. Now, how many
possible sub choices does he have?
c) If each possibility has an equal chance of selection, what is the probability that Brit will
choose a whole wheat turkey sub topped with tomatoes?
d) What is the probability of choosing a veggie sub topped with cheese?
e) What is the probability of choosing a meat sub topped with lettuce on white bread?
f) What is the probability of choosing a meat sub topped with lettuce?