Simple Probability and Complements

Front

What is the definition of 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 A is calculated as P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.

Front

What does it mean if the probability of an event is 0?

Back

If the probability of an event is 0, it means that the event cannot occur.

Front

What does it mean if the probability of an event is 1?

Back

If the probability of an event is 1, it means that the event is certain to occur.

Front

What is the complement of an event?

Back

The complement of an event A, denoted as A', is the event that A does not occur.

Front

How do you calculate the probability of the complement of an event?

Back

The probability of the complement of an event A is calculated as P(A') = 1 - P(A).

Front

If a spinner has 7 equal sections, what is the probability of landing on one specific color?

Back

The probability of landing on one specific color is P(color) = \frac{1}{7}.

Front

If the probability of an event is \frac{1}{4}, what is the probability of its complement?

Back

The probability of the complement is P(A') = 1 - \frac{1}{4} = \frac{3}{4}.

Front

What is the probability of rolling an even number on a standard six-sided die?

Back

The probability of rolling an even number (2, 4, or 6) is P(even) = \frac{3}{6} = \frac{1}{2}.

Front

If a spinner has 8 sections and you want to find the probability of landing on an odd number, how would you calculate it?

Back

Count the odd sections and divide by the total sections. If there are 4 odd sections, P(odd) = \frac{4}{8} = \frac{1}{2}.