A bag contains 3 red and 5 white toys. Rose picked two toys one after the other. Draw a probability tree. Find the probability that Rose gets two red toys.
You can use Microsoft Word to draw a probability tree.
I assume she does not return the first one, so
prob (red, red ) = (3/8)(2/7) = 3/28
To draw a probability tree in Microsoft Word, you can follow these steps:
1. Open a new Microsoft Word document.
2. Click on the "Insert" tab in the top toolbar.
3. Select "SmartArt" from the "Illustrations" group.
4. In the SmartArt graphic window, choose the "Hierarchy" category.
5. Select the "Organizational Chart" layout from the options provided.
6. Click "OK" to insert the SmartArt graphic into your document.
7. Customize the SmartArt graphic by adding boxes and arrows to represent the different events and probabilities.
Now let's calculate the probability that Rose gets two red toys:
Given: The bag contains 3 red and 5 white toys.
Let's define the events:
Event A: Picking a red toy on the first draw
Event B: Picking a red toy on the second draw
To find the probability of getting two red toys, we need to calculate the probability of event A happening and then the probability of event B happening.
Probability of event A (picking a red toy on the first draw):
There are 3 red toys out of 8 total toys, so the probability of picking a red toy on the first draw is 3/8.
Probability of event B (picking a red toy on the second draw):
After picking a red toy on the first draw, there is now one less red toy and one less toy overall in the bag. So, for the second draw, there are 2 red toys left out of 7 total toys. Therefore, the probability of picking a red toy on the second draw is 2/7.
To find the probability of both events happening (getting two red toys), we multiply the probabilities together:
Probability of getting two red toys = (3/8) * (2/7) = 6/56 = 3/28
Therefore, the probability that Rose gets two red toys is 3/28.
To draw a probability tree in Microsoft Word, follow these steps:
1. Open Microsoft Word and start a new blank document.
2. Click on the "Insert" tab at the top of the window.
3. In the "Illustrations" section, click on "Shapes" and choose the desired shape for your probability tree, such as a rectangle or an oval.
4. Click and drag the shape onto the document to create the first node of the tree.
5. Repeat steps 3 and 4 to create additional nodes for the subsequent events and outcomes.
6. Connect the nodes using lines or arrows to represent the flow of events.
7. Label each event and outcome along the branches of the tree.
8. Add the corresponding probabilities to each outcome.
To find the probability that Rose gets two red toys, we need to calculate the probability of drawing a red toy on the first draw, and then multiply it by the probability of drawing a red toy on the second draw.
The total number of toys in the bag is 3 red + 5 white = 8 toys.
1. Probability of drawing a red toy on the first draw:
Out of the 8 toys in the bag, there are 3 red toys. So, the probability of drawing a red toy on the first draw is 3/8.
2. Probability of drawing a red toy on the second draw:
After selecting one toy, there are 7 toys remaining in the bag. Out of those 7 toys, there are 2 red toys left. So, the probability of drawing a red toy on the second draw is 2/7.
To find the probability of both events occurring, we multiply the probabilities of each event:
Probability of drawing two red toys = (3/8) * (2/7) = 6/56 = 3/28.
Therefore, the probability that Rose gets two red toys is 3/28.