Theoretical OR Experimental

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on the possible outcomes in a perfect world, while experimental probability is based on actual experiments and observed outcomes.

Front

Define 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

Define experimental probability.

Back

Experimental probability is the likelihood of an event happening based on the results of an actual experiment, calculated as the number of times the event occurs divided by the total number of trials.

Front

If a six-sided die is rolled, what is the theoretical probability of rolling a 3?

Back

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

Front

What is the experimental probability of an event?

Back

The experimental probability of an event is determined by conducting an experiment and recording the outcomes.

Front

In a bag with 4 red, 2 pink, and 6 yellow flowers, what is the theoretical probability of choosing a yellow flower?

Back

The theoretical probability of choosing a yellow flower is 6/12 or 1/2.

Front

What is the formula for calculating theoretical probability?

Back

The formula for theoretical probability is P(Event) = Number of favorable outcomes / Total number of possible outcomes.

Front

If John flipped a coin 20 times and got heads 15 times, what is the experimental probability of getting heads?

Back

The experimental probability of getting heads is 15/20 or 0.75.

Front

What does it mean if an experiment is repeated multiple times?

Back

Repeating an experiment multiple times helps to gather more data, which can lead to a more accurate experimental probability.

Front

What is a fair way to decide who goes first in a game?

Back

A fair way to decide who goes first is to use a random method, such as rolling a die or flipping a coin.