Theoretical probability VS Experimental Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes in a perfect scenario, 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 = Number of red marbles / Total number of marbles = 3 / (4 + 3 + 2 + 1) = 3/10.

Front

What is the theoretical probability of landing on green or red in a spinner divided into 3 equal sections: green, red, and blue?

Back

Theoretical probability = (Number of green + Number of red) / Total sections = (1 + 1) / 3 = 2/3.

Front

If you flip a coin 100 times, what is the expected number of times it will land on tails?

Back

Expected number of tails = Probability of tails * Total flips = (1/2) * 100 = 50 times.

Front

What is the experimental probability of landing on green or red if a spinner was spun 10 times and landed on green 3 times and red 2 times?

Back

Experimental probability = (Number of times green or red landed) / Total spins = (3 + 2) / 10 = 1/2.

Front

If Jason rolls a die 14 times and rolls a 1 or 6 three times, what is the experimental probability of rolling a 1 or 6?

Back

Experimental probability = (Number of times 1 or 6 rolled) / Total rolls = 3 / 14.

Front

What is the formula for calculating theoretical probability?

Back

P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on expected outcomes in a perfect scenario, while experimental probability is based on actual outcomes from trials.

Front

If a spinner has 5 sections: 2 green, 2 red, and 1 blue, what is the theoretical probability of landing on blue?

Back

Theoretical probability = Number of blue sections / Total sections = 1 / 5.