Counting outcomes & probability

Front

What is the total number of combinations for a lock with 4 dials, using digits 0-9 without reusing any number?

Back

5040

Front

How many possible 4-digit PIN codes can be created using digits 0-9?

Back

10,000

Front

If the probability of picking a quarter from a jar is 0.125, how many quarters are in a jar of 250 coins?

Back

30 quarters

Front

If the probability of an event is 0.99, how would you describe the likelihood of that event occurring?

Back

The event is likely to occur.

Front

What is the probability of rolling a 2 or a 3 on a number cube labeled 1 to 6?

Back

1/3

Front

Define probability in the context of outcomes.

Back

Probability is the 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 number of permutations of n items taken r at a time?

Back

n! / (n - r)! where n is the total number of items and r is the number of items to choose.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

How do you calculate the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of an event that is certain to happen?

Back

1 (or 100%).