Question

Suppose you roll a fair, six-sided number cube.


List the sample space.

List one possible event.

Calculate the probability of that event.

Answer 1

Answer:

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event is rolling an even number

probability (even number)$=P\{2, 4, 6\}$ $=\frac{3}{6}=\frac{1}{2}$

Step-by-step explanation:

Sample Space

The simple space is the combination of all possible outcomes

so,

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event

One possible event is rolling an even number

Probability of that event

to find the probability of the event i.e. rolling an even number, we first find the sample for the event i.e. event space

event space={2, 4, 6}

Now,

probability (even number)$=P\{2, 4, 6\}$ $=\frac{3}{6}=\frac{1}{2}$