Probability: Tree Diagrams Practice

The video tutorial explains how to solve a probability problem using a tree diagram. It covers the importance of not replacing cards, which affects the denominator in probability calculations. The tutorial walks through calculating probabilities for drawing two cards in sequence, emphasizing the use of AND and OR rules. It concludes with tips for avoiding common mistakes and maximizing exam scores.

What is the total number of cards Felix has?

• 8

• 15

• 10

• 12

Why is it important to note that Felix does not replace the card?

• It has no impact on the probability.

• It affects the color of the next card.

• It changes the total number of cards for the next draw.

• It determines the order of the cards.

What is the probability of drawing a red card first?

• 1/3

• 1/5

• 1/10

• 1/2

If a red card is drawn first, what is the probability of drawing another red card?

• 5/9

• 4/9

• 1/9

• 1/10

What is the probability of drawing a blue card first and then another blue card?

• 5/10 * 4/9

• 4/10 * 3/9

• 4/10 * 4/9

• 3/10 * 4/9

In Part B, what is the probability of drawing a red card followed by a blue card?

• 5/10 * 5/9

• 4/10 * 5/9

• 4/10 * 4/9

• 5/10 * 4/9

Which combination is NOT considered in Part B for at least one blue card and no green card?

• Red then Blue

• Blue then Red

• Blue then Blue

• Green then Blue

What is the final probability of drawing at least one blue card and no green card?

• 20/90

• 12/90

• 26/45

• 52/90

How many marks are available for correctly completing the probability tree diagram in Part A?

• 1

• 2

• 3

• 4

What is a common mistake students make when calculating probabilities in this problem?

• Keeping the denominator constant

• Forgetting to multiply probabilities

• Using the wrong colors

• Adding probabilities instead of multiplying