Prob & Stats - Unit 4 - Probability

Front

What is the theoretical probability of an event?

Back

The theoretical probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

How do you calculate the probability of pulling a red marble from a bag containing 3 red, 2 blue, and 4 yellow marbles?

Back

The probability is calculated as the number of red marbles (3) divided by the total number of marbles (3 + 2 + 4 = 9), which equals 3/9 or 1/3.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

If the probability of a girl speaking French is 0.4, what does this imply?

Back

This implies that 40% of the girls in the sample speak French.

Front

What is the probability that a student plays a sport given they do not play an instrument?

Back

This is an example of conditional probability, which can be calculated using the formula P(A|B) = P(A and B) / P(B).

Front

What does a tree diagram represent in probability?

Back

A tree diagram visually represents all possible outcomes of a probability experiment.

Front

What is the probability that a student does not play on a sports team if the probability of playing is 0.5?

Back

If the probability of playing is 0.5, then the probability of not playing is also 0.5.

Front

Define 'favorable outcomes' in probability.

Back

Favorable outcomes are the outcomes of an experiment that correspond to the event we are interested in.

Front

What is the total number of outcomes when rolling a six-sided die?

Back

The total number of outcomes when rolling a six-sided die is 6.

Front

How do you express probability as a fraction?

Back

Probability can be expressed as a fraction by dividing the number of favorable outcomes by the total number of outcomes.