Theoretical and Experimental Probability 5th

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 theoretical probability of pulling a red marble from a bag with 4 green, 3 red, 2 blue, and 1 yellow marble?

Back

Theoretical probability of pulling a red marble = Number of red marbles / Total marbles = 3 / (4 + 3 + 2 + 1) = 3/10.

Front

What is the formula for calculating experimental probability?

Back

P(Event) = Number of times the event occurs / Total number of trials.

Front

If a coin is flipped 50 times and lands on heads 31 times, what is the experimental probability of getting heads?

Back

Experimental probability of heads = 31 / 50 = 62%.

Front

What type of probability is determined by conducting an experiment?

Back

Experimental Probability.

Front

What type of probability is based on theoretical calculations rather than actual experiments?

Back

Theoretical Probability.

Front

If Jane rolls a number cube 25 times and gets an even number 11 times, what is the experimental probability of rolling an even number?

Back

Experimental probability of rolling an even number = 11 / 25 = 44%.

Front

What is the total number of outcomes when rolling a standard number cube?

Back

The total number of outcomes is 6 (the numbers 1 through 6).

Front

In a bag with 10 marbles (4 green, 3 red, 2 blue, 1 yellow), what is the theoretical probability of pulling a blue marble?

Back

Theoretical probability of pulling a blue marble = 2 / 10 = 1/5.