Theoretical and Experimental Probability

What is the total number of possible outcomes when rolling a number cube?

• 4 possible outcomes (1, 2, 3, 4)

• 5 possible outcomes (1, 2, 3, 4, 5)

• 6 possible outcomes (1, 2, 3, 4, 5, 6)

• 7 possible outcomes (1, 2, 3, 4, 5, 6, 7)

What is the difference between theoretical and experimental probability?

• Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from trials.

• Theoretical probability is always higher than experimental probability.

• Experimental probability is calculated using only theoretical models.

• Theoretical probability can only be determined through experiments.

If the probability of winning a game is 5/8, what is the probability of losing?

• 1/8

• 2/8

• 3/8

• 4/8

What is theoretical probability?

• The likelihood of an event happening based on all possible outcomes.

• The probability of an event based on past occurrences.

• The chance of an event occurring in a specific situation.

• The probability calculated using only favorable outcomes.

What is experimental probability?

• The likelihood of an event happening based on theoretical calculations.

• The likelihood of an event happening based on actual experiments or trials, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

• The probability of an event occurring in the future based on past data.

• The chance of an event occurring without any trials or experiments.

If the probability of an event is 1/4, how many times would you expect it to occur in 200 trials?

• 25 times

• 50 times

• 75 times

• 100 times

What is the formula for calculating theoretical probability?

• P(Event) = Number of favorable outcomes / Total number of possible outcomes.

• P(Event) = Total number of possible outcomes / Number of favorable outcomes.

• P(Event) = Number of unfavorable outcomes / Total number of possible outcomes.

• P(Event) = Number of favorable outcomes + Total number of possible outcomes.

If a number cube is rolled, what is the theoretical probability of rolling a number less than 4?

• 1/3

• 1/4

• 1/2

• 2/3

What is the theoretical probability of drawing a King from a standard deck of cards?

• 1/10

• 1/13

• 1/26

• 1/52

What is the expected number of times to roll a number greater than 4 in 300 rolls of a number cube?

• 75 times.

• 100 times.

• 150 times.

• 200 times.