Theoretical and Experimental Probability

Front

What is Theoretical Probability?

Back

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

Front

What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event occurring based on the results of an experiment or repeated 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 probability of rolling a number less than 4?

Back

The probability of rolling a number less than 4 (1, 2, or 3) on a number cube is 3/6 or 1/2.

Front

Bella rolls a number cube 300 times. How many times can she expect to roll a number less than 4?

Back

150 times (1/2 of 300).

Front

A farmer found that 10 out of 25 tomato plants will grow. What is the experimental probability of a tomato plant growing?

Back

The experimental probability is 10/25 or 2/5.

Front

If a farmer plants 200 tomato plants, how many can he expect to grow based on the experimental probability?

Back

80 plants (2/5 of 200).

Front

What is the probability of losing a game if the probability of winning is 5/8?

Back

The probability of losing is 1 - 5/8 = 3/8.

Front

If the probability of winning a game is 5/8 and the game is played 500 times, how many times would someone be expected to lose?

Back

200 times (3/8 of 500).

Front

What is the probability of flipping tails on a coin if the probability of heads is 0.40?

Back

The probability of tails is 1 - 0.40 = 0.60.

Front

If a coin is tossed 500 times and the probability of heads is 0.40, how many times will it come up tails?

Back

300 times (0.60 of 500).