Theoretical Probability and Predictions

This video tutorial explains how to use theoretical probability to make predictions. It covers three examples: rolling a number cube to find the probability of rolling a four, picking vowels from a set of letter tiles, and spinning a spinner to determine the likelihood of landing on an odd number. The video emphasizes using equivalent ratios and proportions to calculate expected outcomes over multiple trials.

If you roll a number cube 300 times, how many times would you expect to roll a four?

• 60 times

• 50 times

• 80 times

• 70 times

What is the probability of rolling a four on a standard number cube?

• 1/4

• 1/6

• 1/3

• 1/5

What mathematical method is used to calculate expected outcomes in probability?

• Division

• Subtraction

• Addition

• Equivalent ratios

How can you calculate the number of times an event will occur using its probability?

• Subtract the probability from the total number of trials

• Multiply the total number of trials by the probability

• Divide the total number of trials by the probability

• Add the probability to the total number of trials

What is the result of multiplying the bottom number of a ratio by 50 if the original ratio was 1/6?

• 1/50

• 50/6

• 1/300

• 50/300

How many times would you expect to pick a vowel if you pick tiles 140 times?

• 60 times

• 50 times

• 20 times

• 40 times

What is the theoretical probability of picking a vowel from a bag of 7 different letters, two of which are vowels?

• 2/7

• 1/7

• 3/7

• 4/7

If you have a bag with 7 tiles and 2 are vowels, what is the ratio of vowels to total tiles?

• 2/5

• 3/7

• 2/7

• 1/3

If you spin a spinner 100 times, how many times would you expect to spin an odd number?

• 30 times

• 40 times

• 50 times

• 60 times

What is the theoretical probability of spinning an odd number on a spinner with five sections, three of which are odd?

• 3/4

• 1/2

• 2/5

• 3/5