Odds vs Probability

Probability and Odds Review

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Theoretical Probability

Multiple Choice

What is the probability of flipping a coin, getting tails?

• 1/2

• 1/3

• 1/4

• Never, Tails never fails.

Multiple Choice

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

• 1/8
• 7/8
• 1
• 7

Multiple Choice

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11
• 5/6
• 1/3
• 5

Experimental Probability

Multiple Choice

Jason rolls a die 14 times.. What is the Experimental probability that he will roll a 1 or 6?

• 1/3

• 1/4

• 3/7

• 1/8

Multiple Choice

Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process 44 times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?

Multiple Choice

Jon made 15 out of 35 free throws.

What is his experimental probability as a fraction?

**SIMPLIFY THE FRACTION!**

• 3/7

• 15/35

• 1/2

• 5/7

Odds

• Slightly different than Probability

• Favorable outcome : Non favorable outcome

Odds "in favor" Example

• The odds in favor of winning are:

• 3:1

• 3 winners

• 1 Loser

• 4 Total

Odds "against" Example

• The odds against winning is

• 1:3

• 1 loser

• 3 winners

• 4 Total

The probability of two, or more, events taking place.​

Independent and Dependent Events

The result of the first event has NO EFFECT on the result of the second event.

Replacement, or non related events, like rolling a dice and flipping a coin. Or picking a marble, PUTTING IT BACK, and picking another

​​Independent Events

​The first event changes, "effects" the probabolity of the second event.

No Replacement, an item, like a marble. gets picked and is not put back in. Then the second marble to chosen.

Dependent Events

Multiple Choice

An event that consists of two or more events

•  event

• dependent events

• experiment

• compound event

Multiple Choice

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

Multiple Choice

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

• $$\frac{3}{7}\times\frac{3}{7}$$  

• $$\frac{4}{7}\times\frac{4}{7}$$  

• $$\frac{4}{7}\times\frac{3}{6}$$  

• $$\frac{4}{7}\times\frac{3}{7}$$  

Multiple Choice

If you spin two times, what is the probability of landing on green both times?

• $$\frac{1}{6}+\frac{1}{6}$$

• $$\frac{1}{6}\times\frac{1}{6}$$

• $$\frac{1}{6}\times\frac{2}{6}$$

• $$\frac{1}{3}\times\frac{1}{3}$$

Multiple Choice

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

Multiple Choice

How do you find compound probability?

• Multiply your probabilities

• Add your probabilities

• Divide your probabilities

• Subtract your probabilities

Multiple Choice

How many outcomes are there with tossing a coin and rolling a dice?

• 2
• 6
• 12
• 24

Multiple Choice

An event that consists of two or more events

•  event

• dependent events

• experiment

• compound event

Multiple Choice

How do you find compound probability?

• Multiply your probabilities

• Add your probabilities

• Divide your probabilities

• Subtract your probabilities

Multiple Choice

If you pick a red marble and keep it, how does that change the probability of getting a green marble when you pick a second time?

• No change

• More likely

• Less likely

• Impossible

Multiple Choice

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

• $$\frac{3}{7}\times\frac{3}{7}$$  

• $$\frac{4}{7}\times\frac{4}{7}$$  

• $$\frac{4}{7}\times\frac{3}{6}$$  

• $$\frac{4}{7}\times\frac{3}{7}$$  

Multiple Choice

If you spin two times, what is the probability of landing on green both times?

• $$\frac{1}{6}+\frac{1}{6}$$

• $$\frac{1}{6}\times\frac{1}{6}$$

• $$\frac{1}{6}\times\frac{2}{6}$$

• $$\frac{1}{3}\times\frac{1}{3}$$

Multiple Choice

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12

• 1/4

• 1/8

• 1/2