Question

Which of the following is an element in the sample space for first rolling anumber cube and then tossing a coin?Ο Α. Τ, ΗB. 5, HC. 5,6D. H,7

Answer 1

B. 5, H

Step-by-step explanation

A sample space is a set of all the possible outcomes of an experiment.

The possible outcomes for rolling a number cube are:

`\mleft\lbrace1,2,3,4,5,6\mright\rbrace`

The possible outcomes for tossing a coin are:

`\mleft\lbrace H,T\mright\rbrace`

Therefore, the only option that can be an element in the sample space for first rolling a number cube and then tossing a coin is option B.

This is because the number comes before the Head (or tail) unlike the other options:

`B)5,H`