Probability and combinations

Front

What is the definition of probability?

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 combination?

Back

A combination is a selection of items from a larger set where the order of selection does not matter.

Front

What is a permutation?

Back

A permutation is an arrangement of items where the order of selection does matter.

Front

How do you calculate the number of permutations of n items taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!.

Front

How do you calculate the number of combinations of n items taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].

Front

What is the theoretical probability of an event?

Back

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What is experimental probability?

Back

Experimental probability is calculated based on the outcomes of an experiment, defined as the number of times an event occurs divided by the total number of trials.

Front

If a bag contains 3 red, 2 blue, and 4 green marbles, what is the probability of drawing a blue marble?

Back

The probability is 2/9.

Front

What is the total number of arrangements of the letters in the word 'RHOMBUS'?

Back

The total arrangements are 7! = 5040.

Front

In how many ways can 4 siblings be chosen from a group of 7?

Back

There are 35 ways to choose 4 siblings from 7.