Probability 4.1.3

How can I change the chances?

By Courtney Kuschel

Open Ended

If you want to have the best chances of getting a red gumball from a gumball machine, is it better if the machine is full of gumballs or half empty?

Open Ended

 How do the chances of winning at bingo change if you have 40 or 50 people playing instead of 10 people?

Multiple Choice

You have 1 yellow, 2 red, 4 green, and 5 blue blocks. You were to reach into the bag and select one block without looking. What is the probability of getting red?

P(Red) =

• 1/4

• 12/2

• 2/12

• 2

Multiple Choice

You have 1 yellow, 2 red, 4 green, and 5 blue blocks. You were to reach into the bag and select one block without looking. What is the probability of getting yellow?

P(Yellow) =

• 1/12

• 1/4

• 1

• 12/1

Multiple Choice

You have 1 yellow, 2 red, 4 green, and 5 blue blocks. You were to reach into the bag and select one block without looking. What is the probability of getting green?

P(Green) =

• 12/4

• 4/12

• 1/4

• 4

Multiple Choice

You have 1 yellow, 2 red, 4 green, and 5 blue blocks. You were to reach into the bag and select one block without looking. What is the probability of getting Blue?

P(Blue) =

• 1/4

• 12/5

• 5

• 5/12

Multiple Choice

Your answers for the last four questions, did those represent theoretical probabilities (what we expect) or experimental probabilities (what actually happened)?

• Theoretical

• Experimental

Multiple Choice

If you reached into the bag 12 times, how many times would you expect to have selected a blue block? 

• 1

• 5

• 4

• 8

• 12

Multiple Choice

Now we doubled the blocks. Before, there was a 2/12 chance of getting red. Do you think doubling the blocks will change the likelihood of getting red?

• Yes. The probability doubled.

• No. It's still a 2/12 chance because 2/12 = 4/24

• Yes. There is so much blue, it will make it harder to get red.

Match

Now there are 24 blocks in the bag. Match the probabilities.

• Blue

• Green

• Yellow

• Red

10/24 or 5/12

8/24 or 4/12 or 1/3

2/24 or 1/12

4/24 or 2/12 or 1/6

• 10/24 or 5/12

• 8/24 or 4/12 or 1/3

• 2/24 or 1/12

• 4/24 or 2/12 or 1/6

Open Ended

Originally you had 12 blocks in the bag. Now there are 24 blocks. Has the probability for drawing each different-colored block changed?  Explain.

Match

Match the word to it's definition.​ ​

• Experimental Probability

• Theoretical Probability

• Probability

• Outcome

• Common

What actually happens.

What we expect to happen.

How likely something will happen

Any possible result

Together, equally belonging

• What actually happens.

• What we expect to happen.

• How likely something will happen

• Any possible result

• Together, equally belonging