Theoretical Vs Experimental

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What is theoretical probability?

Back

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

Tags

CCSS.7.SP.C.7A

Front

What is 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 coin is flipped 100 times, how many times would you expect tails to appear?

Back

50 times, since the theoretical probability of tails is 1/2.

Tags

CCSS.7.SP.C.6

Front

What is the theoretical probability of landing on green or red in a spinner with 6 equal sections, 2 of which are green and red?

Back

2/6 or 1/3.

Tags

CCSS.7.SP.C.7B

Front

If a coin is flipped 120 times and lands on heads 78 times, what is the experimental probability of landing on heads?

Back

The experimental probability is 78/120 or 0.65.

Tags

CCSS.7.SP.C.6

Front

What is the expected number of SUVs passing by if the experimental probability is 0.4 and 500 cars pass?

Back

200 SUVs, calculated as 0.4 * 500.

Tags

CCSS.7.SP.C.6

Front

If an arrow is spun 15 times and lands on section Q 4 times, what is the experimental probability of landing on Q?

Back

The experimental probability is 4/15.

Tags

CCSS.7.SP.C.6

Front

How do you calculate the theoretical probability of an event?

Back

By dividing the number of favorable outcomes by the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from trials.

Front

If a spinner has 5 equal sections and 2 are blue, what is the theoretical probability of landing on blue?

Back

2/5.

Tags

CCSS.7.SP.C.7B