Basic Probability

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event is calculated as P(E) = Number of favorable outcomes / Total number of possible outcomes.

Front

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

Back

A probability of 0 means that the event is impossible and will not occur.

Front

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

Back

A probability of 1 means that the event is certain to occur.

Front

What is the probability of getting a letter that is not A from the set {A, B, C, D}?

Back

The probability is 3/4, as there are 3 favorable outcomes (B, C, D) out of 4 possible outcomes.

Front

How do you calculate the probability of spinning red on a spinner with 12 equal sections, 5 of which are red?

Back

The probability is calculated as P(red) = 5/12.

Front

What is the probability of picking a red marble from a bag containing 3 red marbles and 7 blue marbles?

Back

The probability is 3/10, as there are 3 favorable outcomes (red marbles) out of 10 total marbles.

Front

If a bag contains 9 red marbles and 11 blue marbles, what is the probability of picking a red marble?

Back

The probability is 9/20, as there are 9 favorable outcomes (red marbles) out of 20 total marbles.

Front

What is the probability of NOT spinning green on a spinner with 4 colors: red, green, blue, and yellow?

Back

If there is 1 green section, the probability of NOT spinning green is 3/4.

Front

What is the complement of an event in probability?

Back

The complement of an event A is the event that A does not occur, and its probability is calculated as P(A') = 1 - P(A).