Question

select all the correct answers. paul needs to randomly select one of his four children to go first in a board game. which simulation tools could he use in this situation? a standard deck of cards a bag containing 12 chips in two different colors, with six of each color a six - sided number cube two coins a spinner divided evenly into 12 sections, with three sections each of four different colors

Explanation:

Step1: Analyze each option

Check if the tool can generate 4 - equally likely outcomes.

Step2: Evaluate a standard deck of cards

A standard deck has 52 cards. We can assign 13 cards to each of the 4 children, so it can be used for random selection.

Step3: Evaluate a bag of 12 chips

There are only 2 color - groups, not sufficient to randomly select among 4 children.

Step4: Evaluate a six - sided number cube

We can map 1 - 2 to one child, 3 - 4 to another, 5 - 6 to the third and fourth in some way to randomly select among 4 children.

Step5: Evaluate two coins

Two coins have \(2\times2 = 4\) possible outcomes (HH, HT, TH, TT), so it can be used.

Step6: Evaluate a spinner

The spinner has 4 color - groups with 3 sections each, allowing for random selection among 4 children.

Answer:

A. a standard deck of cards
C. a six - sided number cube
D. two coins
E. a spinner divided evenly into 12 sections, with three sections each of four different colors