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.

Tags

CCSS.7.SP.C.7A

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.

Tags

CCSS.7.SP.C.7B

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.

Tags

CCSS.7.SP.C.6

Front

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

Back

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

Tags

CCSS.7.SP.C.7B

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.

Tags

CCSS.7.SP.C.7B

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.

Tags

CCSS.HSS.CP.B.7

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.

Tags

CCSS.7.SP.C.6

Front

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

Back

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

Tags

CCSS.7.SP.C.7B

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.

Tags

CCSS.7.SP.C.6