Experimental and Theoretical Probability

Front

What is Experimental Probability?

Back

Experimental probability is the probability determined by conducting an experiment and observing the outcomes. It is calculated as the number of times an event occurs divided by the total number of trials.

Front

What is Theoretical Probability?

Back

Theoretical probability is the probability calculated based on the possible outcomes of an event, assuming all outcomes are equally likely. It is determined using the formula: P(Event) = Number of favorable outcomes / Total number of possible outcomes.

Front

If a fair coin is flipped 40 times, how many times can we expect heads to appear?

Back

20 times (since the expected probability of heads is 1/2, so 40 * 1/2 = 20).

Front

A coin is tossed 18 times and lands on heads 12 times. What is the experimental probability of tails?

Back

The experimental probability of tails is 6/18, which reduces to 1/3.

Front

What is the theoretical probability of randomly picking a Purple marble from a sack containing 2 Purple, 3 Red, and 10 Blue marbles?

Back

The theoretical probability is 2/15.

Front

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

Back

The probability of not selecting a red card is 16/25.

Front

What is the formula for calculating probability?

Back

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

Front

What does it mean if an event has a probability of 0?

Back

A probability of 0 means that the event is impossible and will not occur.

Front

What does it mean if an event has a probability of 1?

Back

A probability of 1 means that the event is certain to occur.

Front

How do you calculate the experimental probability of an event?

Back

Experimental probability is calculated by dividing the number of times the event occurs by the total number of trials.