Question

1.) Suppose an experiment consists of spinning X and then spinning Y, as follows:

Find the following:
a. The sample space is S for the experiment
b. The event A consisting of outcomes from spinning an even number followed by an even number
c. The event B consisting of outcomes from spinning at least one 2
d. The event C consisting of outcomes from spinning exactly one 2

Answer 1

a) Sample space: {1,1}, {1,2}, {1,3}, {2,1}, {2,2}, {2,3}

Answer 2

b) The event A consisting of outcomes from spinning an even number followed by an even number:
{2,2}, that's it

Answer 3

c) The event B consisting of outcomes from spinning at least one 2:
{1,2}, {2,1}, {2,2}, {2,3}

Answer 4

d) The event C consisting of outcomes from spinning exactly one 2
{1,2}, {2,1}, {2,3}

Answer 5

would it be incorrect to write it like this for example: S= {(1,1), (1,2), (1,3),(2,1), (2,2), (2,3)} ?

Answer 6

oh no it wouldn't, i think that's actually the correct way.

Answer 7

great! thank you so much, I was way overthinking this question.