Theoretical and Experimental Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on the possible outcomes in a perfect scenario, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

How do you calculate the probability of an event not occurring?

Back

The probability of an event not occurring is calculated as 1 minus the probability of the event occurring.

Front

If a spinner has 8 equal sections, and 1 section is yellow, what is the theoretical probability of landing on yellow?

Back

The theoretical probability of landing on yellow is 1/8.

Front

In a deck of cards with 18 red, 12 yellow, and 20 blue cards, how do you find the probability of selecting a yellow card?

Back

The probability of selecting a yellow card is calculated as the number of yellow cards divided by the total number of cards: 12/(18+12+20) = 12/50 = 6/25.

Front

What is the total number of outcomes when flipping a coin?

Back

The total number of outcomes when flipping a coin is 2: heads or tails.

Front

How do you determine the expected number of times an event occurs in a series of trials?

Back

The expected number of times an event occurs is calculated by multiplying the total number of trials by the probability of the event.

Front

What is the probability of choosing a letter other than 'A' from the word 'ALGEBRA'?

Back

The probability is calculated as the number of letters other than 'A' (5) divided by the total number of letters (7), resulting in 5/7.

Front

If a spinner has 4 equal sections and 1 section is yellow, what is the probability of NOT landing on yellow?

Back

The probability of NOT landing on yellow is calculated as 1 - (1/4) = 3/4.

Front

What is the probability of flipping a coin and getting tails?

Back

The probability of flipping a coin and getting tails is 1/2.

Front

In a probability experiment, what does it mean if an event is independent?

Back

An event is independent if the occurrence of one event does not affect the probability of another event occurring.