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

How do you calculate the probability of an event?

Back

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

Front

If a bag contains 3 red marbles and 7 blue marbles, what is the theoretical probability of picking a red marble?

Back

Theoretical probability of picking a red marble = 3/(3+7) = 3/10.

Front

What is the probability of not getting a red marble from the same bag?

Back

Probability of not getting a red marble = 1 - Probability of getting a red marble = 1 - 3/10 = 7/10.

Front

If you flip a fair coin, what is the theoretical probability of getting heads?

Back

Theoretical probability of getting heads = 1/2.

Front

What is the expected number of times you will roll a number greater than 2 on a number cube (1-6) if you roll it 30 times?

Back

Expected number = (Number of outcomes greater than 2) / (Total outcomes) * (Number of rolls) = 4/6 * 30 = 20.

Front

In a game, you have a 1/4 chance of winning. If you play 40 times, how many times can you expect to win?

Back

Expected wins = (Probability of winning) * (Number of games) = 1/4 * 40 = 10.

Front

What is the probability of drawing a blue marble if there are 11 blue marbles and 1 red marble in a bag?

Back

Probability of drawing a blue marble = 11/(11+1) = 11/12.

Front

If you select a marble without looking and put it back, what is the probability of picking the same color twice in a row?

Back

If the probability of picking a color is P, then the probability of picking the same color twice = P * P.

Front

What is the expected number of tails when flipping a fair coin 40 times?

Back

Expected number of tails = (Probability of tails) * (Number of flips) = 1/2 * 40 = 20.