Probability Review

Front

What is the complement of rolling a 4 on a number cube with sides numbered 1 to 6?

Back

The complement is rolling a 1, 2, 3, 5, or 6.

Front

What is the probability of rolling a number other than 4 on a number cube?

Back

The probability is \( \frac{5}{6} \).

Front

What does it mean if an event is described as 'likely'?

Back

It means that the event has a greater chance of occurring than not occurring.

Front

If a spinner has numbers 1 to 10, what is the probability of landing on a number less than 6?

Back

The probability is \( \frac{5}{10} = \frac{1}{2} \).

Front

What is the expected number of times the integer 1 is produced if a weighted number generator produces 1 in 15% of the cases and is run 4000 times?

Back

The expected number is \( 4000 \times 0.15 = 600 \).

Front

What is a sample space in probability?

Back

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

Front

If a coin is flipped three times, what is the probability of getting exactly one tail?

Back

The probability is \( \frac{3}{8} \).

Front

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

Back

The formula is \( P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ outcomes} \).

Front

What is the probability of getting heads at least once when flipping a coin three times?

Back

The probability is 1 - P(no heads) = 1 - \( \frac{1}{8} \) = \( \frac{7}{8} \).

Front

What does 'impossible' mean in terms of probability?

Back

An event that cannot happen has a probability of 0.