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.

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What is Theoretical Probability?

Back

Theoretical Probability is the probability of an event based on the possible outcomes in a perfect world. It is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

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What is Experimental Probability?

Back

Experimental Probability is the probability of an event based on the actual results of an experiment. It is calculated as the number of times an event occurs divided by the total number of trials.

Front

How do you calculate the probability of picking a quarter from a bag with 5 quarters, 2 dimes, and 4 pennies?

Back

Probability = Number of favorable outcomes / Total number of outcomes = 5 / (5 + 2 + 4) = 5/11.

Front

What is the probability of NOT picking a pop song if Ryan has 4 rap songs, 11 pop songs, 8 country songs, and 2 rock songs?

Back

Probability = Number of non-pop songs / Total number of songs = (4 + 8 + 2) / (4 + 11 + 8 + 2) = 14/25.

Front

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

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An event with a probability of 0 means that it is impossible for that event to occur.

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

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An event with a probability of 1 means that it is certain that the event will occur.

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What is the complement of an event?

Back

The complement of an event is the event that represents all outcomes that are not in the event. If P(A) is the probability of event A, then the probability of the complement is P(NOT A) = 1 - P(A).

Front

If you flip a coin 20 times, what type of probability are you calculating?

Back

You are calculating Experimental Probability.

Front

What is the probability of picking a yellow marble if the probability of NOT picking a blue or orange marble is ¼?

Back

P(yellow) = 1 - P(NOT blue or orange) = 1 - ¼ = ¾.