Probability Tree Diagrams and Relative Frequency

Tree Diagram

• A written list of all possible outcomes

• A description of all possible outcomes

• A drawing with branches of all possible outcomes

Bert & Ernie choose a juice to have for breakfast. The probability that Bert chooses orange is ³/₄. If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅. If Bert chooses apple the probability that Ernie chooses apple is ²/₃. Find the value of the probability marked c.

• ¹/₄

• ¹/₅

• ¹/₃

• ³/₄

Bert & Ernie choose a juice to have for breakfast. The probability that Bert chooses orange is ³/₄. If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅. If Bert chooses apple the probability that Ernie chooses apple is ²/₃. Find the value of the probability marked e.

• ¹/₄

• ¹/₅

• ¹/₃

• ³/₄

Bert & Ernie choose a juice to have for breakfast. The probability that Bert chooses orange is 3/4. If Bert chooses orange, the probability that Ernie chooses orange is 4/5. If Bert chooses apple the probability that Ernie chooses apple is 2/3. What is the probability that both Bert & Ernie choose orange juice?

• ¹²/₂₀

• ³/₉

• ²/₁₂

• ⁷/₉

Bert & Ernie choose a juice to have for breakfast. The probability that Bert chooses orange is 3/4. If Bert chooses orange, the probability that Ernie chooses orange is 4/5. If Bert chooses apple the probability that Ernie chooses apple is 2/3. What is the probability that Bert & Ernie choose different juices?

• ³/₂₀

• ¹/₁₂

• ¹⁴/₆₀

• ¹⁹/₆₀

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

• 1/2

• 1/4

• 3/4

• 1/3

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked y

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked w

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉

There are 10 counters in a bag, 3 red and 7 blue. I take one counter, then another without replacement. Find the probability of picking two red counters.

• ⁶/₉₀

• ⁵/₁₉

• ⁴⁷/₉₀

• ²/₉

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

• ²¹/₉₀

• ⁴⁸/₉₀

• ⁴²/₉₀

• ¹⁰/₁₉