Probability Flashcard

Front

What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted.

Front

What is theoretical probability?

Back

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

Front

How do you calculate the probability of rolling a specific number on a fair number cube?

Back

The probability of rolling a specific number on a fair number cube is 1/6, since there are 6 equally likely outcomes.

Front

What does the Law of Large Numbers state?

Back

The Law of Large Numbers states that as the number of trials increases, the experimental probability will get closer to the theoretical probability.

Front

If a coin is flipped, what is the probability of landing on heads?

Back

The probability of landing on heads when flipping a fair coin is 1/2.

Front

What is the probability of rolling a 4 on a number cube after rolling it 30 times and getting 9 fours?

Back

The experimental probability is 9/30, which simplifies to 3/10.

Front

If a coin lands on tails 26 times out of 30 flips, what is the experimental probability of landing on tails?

Back

The experimental probability of landing on tails is 26/30, which simplifies to 13/15.

Front

How do you predict outcomes based on experimental probability?

Back

To predict outcomes, multiply the experimental probability by the number of additional trials.

Front

What is the probability of Dave bowling a strike if his previous record shows a probability of 3/25?

Back

The probability of Dave bowling a strike is 3/25.

Front

What is the expected number of heads in 15 additional flips if a coin has an experimental probability of 1/15 for heads?

Back

The expected number of heads is 1, calculated as (1/15) * 15.