Question

Write the concept that best describes each exercise. Choose from the concept list above.

Answer 1

Explanation:

The match of the terms and definitions is given in the image below:

(1)Factorial

The factorial of a number is defined as follows:

`n!=n*(n-1)*(n-2)*\cdots*1`

(2)Combination

When the order of arrangement does not matter, the problem is a combination problem.

(3)Sample Space

The sample space of an event is the set of all the possible outcomes in that event.

(4)Independent Events

`P(A\text{ then B\rparen}=P(A)* P(B)`

If two events, A and B are independent, then:

`P(A\text{ and B\rparen}=P(A)* P(B)`

What this means is that the probability of one event does not affect the other event, so, you simply multiply the individual probabilities.

(5)Outcome

When a coin is flipped, the possible events (Heads or Tails) are referred to as the outcome of the event.

(6)Counting Principle

The number of possible ways/outcomes of an event is determined by using the counting principle.

(7)Permutation

When the order of arrangement matters, the problem is a permutation problem.

(8)Dependent Events

For any two dependent events, A and B, the conditional probability of B given A is determined using the formula::

(9)If Renee rolls a six-sided cube, if A is the event of rolling an even number, the sample space for A is:

`A=\lbrace2,4,6\rbrace`

Therefore, the complement of A is:

`A^(\prime)=\lbrace1,3,5\rbrace`