Probability - Compound Events 1Q

Front

What is a compound event in probability?

Back

A compound event is an event that consists of two or more simple events. For example, rolling a die and flipping a coin simultaneously.

Front

How do you calculate the total number of outcomes in a tree diagram?

Back

To find the total number of outcomes in a tree diagram, multiply the number of outcomes for each event. For example, if one event has 2 outcomes and another has 4, the total is 2 x 4 = 8.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of rolling a 1 on a six-sided die?

Back

The probability is 1/6, since there is one favorable outcome (rolling a 1) out of six possible outcomes.

Front

If two events are independent, how do you find the probability of both occurring?

Back

For independent events, multiply their probabilities. For example, P(A) x P(B).

Front

What is the probability of getting tails when flipping a coin?

Back

The probability is 1/2, since there are two possible outcomes (heads or tails) and one favorable outcome (tails).

Front

What is the probability of drawing a specific color from a bag of colored balls?

Back

The probability is calculated by dividing the number of balls of that color by the total number of balls in the bag.

Front

How do you express the probability of an event as a fraction?

Back

The probability of an event can be expressed as a fraction by writing the number of favorable outcomes as the numerator and the total number of outcomes as the denominator.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment. For example, the sample space for flipping a coin is {Heads, Tails}.

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, rolling a 3 and rolling a 5 on a single die.