A frozen yogurt shop offers scoops in cake cones, waffle cones, or cups. You can get vanilla, chocolate, strawberry, pistachio, or coffee flavored frozen yogurt. If you order a single scoop, how many outcomes are in the sample space?
Is the answer 3? If not please work this out for me?
The answer is not 3. This is how you do it:
Vanilla
Chocolate
Cake Cones - Strawberry
Pistachio
Coffee
Vanilla
Chocolate
Waffle Cones - Strawberry
Pistachio
Coffee
Vanilla
Chocolate
Cups - Strawberry
Pistachio
Coffee
This shows that there is 4 outcomes per cone/cups, therefore the answer is 4 x 3 = 12
12
Yes you are correct the answer is 3 great job!
To determine the number of outcomes in the sample space, we need to consider the number of choices for each option and multiply them together.
First, let's consider the choice of cones. The frozen yogurt shop offers three options: cake cones, waffle cones, or cups. Therefore, there are 3 possibilities for the cone.
Next, let's consider the choice of flavors. The shop offers vanilla, chocolate, strawberry, pistachio, and coffee flavors. You are ordering a single scoop, so you have to choose one flavor out of the five available. Therefore, there are 5 possibilities for the flavor.
To calculate the total number of outcomes, multiply the number of choices for cones by the number of choices for flavors:
Number of outcomes = Number of cone choices × Number of flavor choices
Number of outcomes = 3 cones × 5 flavors
Number of outcomes = 15
Therefore, there are 15 possible outcomes (choices) in the sample space. So the answer is not 3; it is 15.