Calculating Combined Probabilities with Tree Diagrams

The video tutorial explains how to solve a probability problem using a tree diagram. It begins with a problem statement involving picking sweets from a bag and then demonstrates how to draw a tree diagram to represent the situation. The tutorial covers calculating probabilities for different outcomes, checking the total probability, and solving specific probability questions. It also discusses alternative methods for finding probabilities and concludes with key takeaways about using tree diagrams in probability.

How many blue sweets are in Jenny's bag?

• None of the above

• 7

• 3

• 10

What is the probability of picking a red sweet on the first pick?

• None of the above

• 1/2

• 7/10

• 3/10

What is the probability of picking two blue sweets in a row?

• None of the above

• 9/100

• 21/100

• 49/100

How does replacing the sweet affect the probabilities?

• Only the probability of picking a red sweet changes

• Probabilities remain the same for each pick

• Only the probability of picking a blue sweet changes

• Probabilities change after the first pick

What operation is used to combine probabilities along a branch of the tree diagram?

• Subtraction

• Division

• Multiplication

• Addition

What is the probability of not picking any red sweet?

• None of the above

• 9/100

• 49/100

• 21/100

What is the probability of picking at least one blue sweet?

• 91/100

• 21/100

• 9/100

• None of the above

What is the probability of picking one sweet of each color?

• None of the above

• 42/100

• 21/50

• 49/100

What is the alternative method to calculate the probability of at least one blue sweet?

• Subtracting the probability of two reds from one

• None of the above

• Multiplying the probabilities of picking a blue sweet twice

• Adding the probabilities of all outcomes with a blue sweet

What operation is used to combine probabilities of different outcomes?

• Multiplication

• Addition

• Division

• Subtraction