Tree Diagrams (Leaving Cert Mathematics): Quizzes

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Tree Diagrams
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11 questions from this quiz

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What is the fundamental rule for finding probabilities along a path in a tree diagram?

Multiply the probabilities

When finding the probability of either Event A OR Event B occurring, what operation do you use?

Add across different branches

What must all final probabilities in a tree diagram sum to?

1

If P(A)=14P(A) = \frac{1}{4} and P(B)=35P(B) = \frac{3}{5}, what is P(A and B)P(\text{A and B})?

320\frac{3}{20}

Box A has 3 red and 4 blue beads. What is P(red)P(\text{red}) from Box A?

37\frac{3}{7}

In the box problem, what is P(both beads red)P(\text{both beads red}) if Box A has P(red)=37P(\text{red})=\frac{3}{7}, Box B has P(red)=25P(\text{red})=\frac{2}{5}?

635\frac{6}{35}

What is the most common mistake students make with tree diagrams?

Adding along branches not multiplying

When working with fractions in tree diagrams, what is recommended?

Don't simplify until the end

In the box problem, P(same colour)=635+1235P(\text{same colour}) = \frac{6}{35} + \frac{12}{35}. What is the result?

1835\frac{18}{35}

What should you always do when calculating probabilities along a single path through a tree diagram?

Multiply the probabilities

How can you verify your tree diagram calculations are correct?

Check all final probabilities sum to 1

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