Theoretical Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of rolling a number greater than 2 on a regular number cube?

Back

4/6 or 2/3, since the favorable outcomes are 3, 4, 5, and 6.

Front

What is the probability of getting tails when flipping a fair coin?

Back

1/2, as there are two possible outcomes: heads or tails.

Front

How do you calculate the probability of drawing a blue marble from a bag containing 11 blue marbles and 1 red marble?

Back

The probability is 11/12, since there are 11 favorable outcomes (blue marbles) out of 12 total marbles.

Front

What is the theoretical probability of getting a red marble if there are 3 red marbles and 7 blue marbles in a bag?

Back

1/3, since there are 3 favorable outcomes (red marbles) out of 10 total marbles.

Front

If you select a marble without looking and put it back, what is the best prediction for the number of times you will pick a blue marble in 24 tries if the probability of picking a blue marble is 11/12?

Back

22 times, calculated as (11/12) * 24.

Front

What is the formula for calculating probability?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What does it mean if an event has a probability of 0?

Back

It means the event is impossible and will not occur.

Front

What does it mean if an event has a probability of 1?

Back

It means the event is certain to occur.

Front

What is the probability of rolling a 1 on a regular number cube?

Back

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