Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

A box contains coins, number cubes labelled 1 to 6, and a spinner with 4 congruent sectors. Which 2 items from the box would you use to simulate a situation with 8 equally likely outcomes?
A) A number cube and a spinner
B) A coin and a number cube
C) Two number cubes
D) A coin and a spinner

Sagot :

Using the Fundamental Counting Theorem, it is found that a simulation with 8 equally likely outcomes would be generated from:

D) A coin and a spinner.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

  • The coin has 2 outcomes, hence [tex]n_1 = 2[/tex].
  • The spinner has 4 outcomes, hence [tex]n_2 = 4[/tex].

The total number of equally likely outcomes is given by:

N = 2 x 4 = 8.

Hence option D is correct.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

#SPJ1

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.