Probability Build Tree Diagrams

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 both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

A tree diagram is useful in determining the __________of a probability experiment.

• result

• possible outcomes

• event

• none of the above

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

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

What is the chance that the dessert is not brownies and does not have peanut butter in it?

• 0.58

• 0.42

• 0.06

• 0.05

What is the probability that the dessert is not brownies or does have peanut butter in it?

• 0.99

• 0.42

• 0.64

• 0.95

P (brownies  l  no peanut butter)

• 0.12

• 0.88

• 0.05

• 0.58