Probability and Experimental Outcomes

The video tutorial covers the basics of calculating probabilities for chance experiments with equally likely outcomes. It includes a practical experiment using colored cubes to demonstrate how to calculate probabilities and compare theoretical and experimental results. The tutorial also explains sample space and provides examples of probability calculations with coins, dice, and letters.

What is the basic formula for calculating the probability of an event?

• Number of favorable outcomes divided by total number of outcomes

• Number of total outcomes divided by number of favorable outcomes

• Number of favorable outcomes multiplied by total number of outcomes

• Number of total outcomes minus number of favorable outcomes

In the colored cube experiment, how many times was the color red drawn?

• 3 times

• 6 times

• 9 times

• 12 times

What does the law of large numbers suggest about experimental probability?

• It will always match theoretical probability

• It will get closer to theoretical probability with more trials

• It will always be less than theoretical probability

• It will always be more than theoretical probability

How many possible outcomes are there when flipping a nickel and a dime?

• 4

• 3

• 2

• 5

What is the probability of rolling an odd number on a six-sided die?

• 1/6

• 1/3

• 1/2

• 2/3

When selecting a letter from the word 'number', what is the probability of selecting a vowel?

• 2/3

• 1/2

• 1/3

• 1/6

If the probability of selecting a blue cube is 1/2, how many blue cubes are there in a bag of 10 cubes?

• 7

• 5

• 3

• 2

What is the probability of selecting the letter 'z' from the word 'number'?

• 1/3

• 1/6

• 0

• 1/2

In a game with two spinners, what is the probability of both landing on red?

• 1/5

• 1/3

• 1/2

• 1/4

How many groups of five are needed to color four out of five cubes blue in a bag of 10 cubes?

• 4

• 2

• 1

• 3