Question

determine the sample space of all the possible outcomes of choosing a card number 1 2 3 or 4 and a blue green or yellow marble how many outcomes involves choosing a Blue Marble

Answer 1

There are a total of 4 outcomes that involve choosing a blue marble

Here, we want to write a sample space for the selection

For us to have the sample space, we will have to write out the possible outcomes

We shall be representing the blue marble by b, the green by g and the yellow by y

We have the sample space as follows;

{1B,1G,1Y,2B,2G,2Y,3B,3G,3Y,4B,4G,4Y}

From the sample space, we can see that there are actually 12 possible results

Now, to get the outcomes involving blue marbles, we simply select the members of the sample space having B at the back

We have these as 1B, 2B, 3B and 4B

This is a total of 4 outcomes