Experimental and theoretical probability

Front

What is the definition of theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes in a perfect scenario, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

Tags

CCSS.7.SP.C.7A

Front

What is the definition of experimental probability?

Back

Experimental probability is the likelihood of an event occurring based on actual experiments or trials, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

Front

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

Back

1/4 or 25% (since there are 4 possible outcomes: 1, 2, 3, 4).

Tags

CCSS.7.SP.C.7A

Front

What is the formula for calculating experimental probability?

Back

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

Front

Jon made 15 out of 35 free throws. What is his experimental probability as a fraction?

Back

3/7 (simplified from 15/35).

Front

A bag has 4 green marbles, 3 red, 2 blue, and 1 yellow. What is the theoretical probability of pulling a red marble?

Back

3/10 (3 red marbles out of 10 total marbles).

Tags

CCSS.7.SP.C.7B

Front

What type of probability is based on repeated trials?

Back

Experimental Probability.

Front

What is the theoretical probability of rolling a 1 on a standard six-sided die?

Back

1/6 (1 favorable outcome out of 6 possible outcomes).

Tags

CCSS.7.SP.C.7A

Front

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

Back

1/2 (1 favorable outcome out of 2 possible outcomes).

Tags

CCSS.7.SP.C.7A

Front

What is the experimental probability of rolling a 3 if you rolled a die 20 times and got a 3 five times?

Back

1/4 (5 occurrences of 3 out of 20 trials).

Tags

CCSS.7.SP.C.6