The numbers 7, 8, 9, and 11 are written on separate pieces of paper and put into a hat. Two pieces of paper are drawn at the same time and the product of the numbers is recorded. Find the sample space.
Well, well, well, it seems we have a hat full of numbers. Let's shake things up and draw two pieces of paper at the same time.
Now, we have 4 numbers to choose from: 7, 8, 9, and 11. To find the sample space, we need to find all possible pairs.
Let's start pairing them up and see what we get:
- 7 and 8: 7 multiplied by 8 is 56.
- 7 and 9: 7 times 9 gives us 63.
- 7 and 11: 7 multiplied by 11 is 77.
- 8 and 9: 8 times 9 equals 72.
- 8 and 11: 8 multiplied by 11 is 88.
- 9 and 11: 9 times 11 gives us 99.
So in total, our sample space contains the products:
56, 63, 77, 72, 88, and 99.
And voila, we've found the sample space!
To find the sample space, we need to determine all possible outcomes when drawing two pieces of paper at the same time.
Step 1: Write down all the possible pairs of numbers that can be drawn simultaneously.
Pairs:
(7, 8)
(7, 9)
(7, 11)
(8, 9)
(8, 11)
(9, 11)
Step 2: Find the product of each pair.
Product:
7 × 8 = 56
7 × 9 = 63
7 × 11 = 77
8 × 9 = 72
8 × 11 = 88
9 × 11 = 99
Therefore, the sample space is {56, 63, 77, 72, 88, 99}.
To find the sample space, we need to consider all possible outcomes when two pieces of paper are drawn at the same time.
Let's list all the possible pairs of numbers that can be drawn from the hat:
- 7 and 8
- 7 and 9
- 7 and 11
- 8 and 9
- 8 and 11
- 9 and 11
Now, we need to calculate the product of each pair:
- 7 * 8 = 56
- 7 * 9 = 63
- 7 * 11 = 77
- 8 * 9 = 72
- 8 * 11 = 88
- 9 * 11 = 99
Therefore, the sample space consists of the following possible outcomes:
{56, 63, 77, 72, 88, 99}
it is the set of products, where each value in each pair is an element of the set described above, with no duplications:
{7*8,...9*11}