Unit 5 Test - AP Stats Probability

Front

What is the probability of the arrow stopping on 'X' on the first spin and 'F' on the second spin?

Back

The probability is \( \frac{1}{36} \). This is calculated by multiplying the individual probabilities of each event.

Front

What is the probability of not choosing a red rose from a vase containing 12 red, 5 yellow, and 3 white roses?

Back

The probability is \( \frac{8}{20} \) or \( \frac{2}{5} \). This is calculated by finding the total number of non-red roses (8) over the total number of roses (20).

Front

Are rolling an odd number and rolling an even number on a normal six-sided die mutually exclusive events?

Back

Yes, they are mutually exclusive because both events cannot occur at the same time.

Front

How do you determine P(shaded number or number less than five) using probabilities?

Back

Use the formula: \( P(A \cup B) = P(A) + P(B) - P(A \cap B) \). In this case, it is \( \frac{4}{8} + \frac{4}{8} - \frac{2}{8} \).

Front

What is the probability of rolling a dice and landing on a 4, then rolling again and landing on any even number?

Back

The probability is \( \frac{1}{12} \). This is calculated by multiplying the probability of rolling a 4 (\( \frac{1}{6} \)) by the probability of rolling an even number (\( \frac{1}{3} \)).

Front

Define probability in the context of statistics.

Back

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

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

Explain the concept of independent events in probability.

Back

Independent events are events where the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the formula for calculating the probability of the union of two events?

Back

The formula is: \( P(A \cup B) = P(A) + P(B) - P(A \cap B) \).

Front

What does it mean for two events to be dependent?

Back

Dependent events are events where the occurrence of one event affects the probability of the other event occurring.