Probability and Statistics Flashcard

Front

What is the formula for permutations of n distinct objects taken r at a time?

Back

P(n,r) = n! / (n−r)!.

Front

How do you calculate the number of ways to arrange 6 distinct keys on a key ring?

Back

Use the formula P = 6!.

Front

What is the product rule in counting arrangements?

Back

The product rule states that if there are m ways to do one thing and n ways to do another, then there are m × n ways to do both.

Front

What is the range in a set of numbers?

Back

The range is the difference between the highest and lowest values in a data set.

Front

How do you find the experimental probability of an event?

Back

Experimental probability = (Number of successful outcomes) / (Total number of trials).

Front

What is the significance of factorial in permutations?

Back

Factorial (n!) represents the product of all positive integers up to n, used to calculate arrangements.

Front

What does it mean for objects to be distinct in permutations?

Back

Distinct objects are unique and different from each other, affecting the arrangement count.

Front

How many ways can 3 books be selected from 6 different books?

Back

Use the formula P(6,3) = 6! / (6-3)! = 6 x 5 x 4.

Front

What is the difference between permutations and combinations?

Back

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

Front

What is the formula for calculating the range of a data set?

Back

Range = Maximum value - Minimum value.