Theoretical and Experimental Probability

Front

What is theoretical probability?

Back

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

If a number cube is rolled, what is the theoretical probability of rolling a number less than 4?

Back

P(Less than 4) = 3/6 = 1/2.

Front

How many times would you expect to roll a number less than 4 if you roll a number cube 300 times?

Back

150 times.

Front

What is the theoretical probability of rolling an even number on a standard number cube?

Back

P(Even) = 3/6 = 1/2.

Front

If a number cube labeled 2, 4, 6, 8, 10, and 12 is rolled, what is the theoretical probability of rolling an 8?

Back

P(8) = 1/6.

Front

If the probability of winning a game is 5/8, what is the probability of losing?

Back

P(Losing) = 1 - P(Winning) = 1 - 5/8 = 3/8.

Front

If a game is played 500 times and the probability of winning is 5/8, how many times would you expect to win?

Back

You would expect to win 312.5 times, or approximately 313 times.

Front

What is the theoretical probability of drawing a King from a standard deck of cards?

Back

P(King) = 4/52 = 1/13.

Front

If a number cube is rolled 100 times, how many times would you expect to roll a 6?

Back

You would expect to roll a 6 about 16.67 times, or approximately 17 times.