Experimental and Theoretical Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is experimental probability?

Back

Experimental probability is 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.

Front

How do you calculate the probability of picking a specific item from a group?

Back

Probability = (Number of specific items) / (Total number of items in the group).

Front

If a bag contains 5 red marbles and 3 blue marbles, what is the probability of picking a blue marble?

Back

P(Blue) = 3 / (5 + 3) = 3/8.

Front

What is the probability of rolling a 3 on a standard number cube?

Back

P(3) = 1/6, since there is one favorable outcome (rolling a 3) out of six possible outcomes.

Front

If an arrow is spun 20 times and lands on Q 5 times, what is the experimental probability of landing on Q?

Back

P(Q) = 5 / 20 = 1/4 or 25%.

Front

What is the formula for calculating the probability of not selecting a specific item?

Back

P(Not selecting) = 1 - P(Selecting the item).

Front

In a deck of cards with 18 red, 12 yellow, and 20 blue cards, what is the probability of not selecting a red card?

Back

P(Not Red) = (12 + 20) / (18 + 12 + 20) = 32 / 50 = 16/25.

Front

What is the relationship between experimental and theoretical probability?

Back

Experimental probability is based on actual results from trials, while theoretical probability is based on expected outcomes. They may differ due to chance.

Front

If a die is rolled 60 times and the number 4 appears 10 times, what is the experimental probability of rolling a 4?

Back

P(4) = 10 / 60 = 1/6 or approximately 16.67%.