Probability

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Front

What is the formula for calculating probability?

Back

The probability of an event A is calculated as P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.

Front

What is an experimental probability?

Back

Experimental probability is the probability determined through actual experiments or trials, calculated as the ratio of the number of times an event occurs to the total number of trials.

Front

What is a theoretical probability?

Back

Theoretical probability is the probability calculated based on the possible outcomes in a perfect scenario, without conducting any experiments.

Front

If a die is rolled, what is the probability of rolling a number greater than 4?

Back

P(number > 4) = \frac{2}{6} = \frac{1}{3}.

Front

What is the probability of rolling a 7 on a single die?

Back

P(rolling a 7) = 0, because a standard die has only numbers 1 to 6.

Front

What is the probability of flipping two coins and getting at least one head?

Back

P(at least one head) = \frac{3}{4}.

Front

What is the probability of getting a match when flipping two coins?

Back

P(getting a match) = \frac{1}{2}.

Front

What does P(not A) represent?

Back

P(not A) represents the probability that event A does not occur, calculated as P(not A) = 1 - P(A).

Front

If P(A) = \frac{1}{4}, what is P(not A)?

Back

P(not A) = 1 - P(A) = 1 - \frac{1}{4} = \frac{3}{4}.