Experimental and Theoretical Probability

Front

What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or experiments conducted.

Front

What is theoretical probability?

Back

Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation.

Front

How do you calculate experimental probability?

Back

Experimental probability = (Number of times the event occurs) / (Total number of trials)

Front

If a die is rolled 5 times and shows a 3 three times, what is the experimental probability of rolling a 3?

Back

P(3) = 3/5

Front

What is the theoretical probability of rolling a 4 on a fair six-sided die?

Back

P(4) = 1/6

Front

If a spinner has 4 equal sections: 1 red, 1 blue, 1 green, and 1 yellow, what is the theoretical probability of landing on blue?

Back

P(blue) = 1/4

Front

If a spinner is spun 30 times and lands on red 10 times, what is the experimental probability of landing on red?

Back

P(red) = 10/30 = 1/3

Front

In a deck of cards with 18 red, 12 yellow, and 20 blue cards, what is the probability of selecting a yellow card?

Back

P(yellow) = 12/(18+12+20) = 12/50 = 6/25

Front

What is the probability of not selecting a red card from a deck with 18 red, 12 yellow, and 20 blue cards?

Back

P(not red) = (12+20)/(18+12+20) = 32/50 = 16/25

Front

If a spinner is spun 30 times and lands on blue 12 times, what is the experimental probability of landing on a color that is not blue?

Back

P(not blue) = (30-12)/30 = 18/30 = 3/5