Statistics Tree Diagram

At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below shows the orders taken for one day. Which probability has the highest outcome?

• P(Cola | Fries)

• P(Cola | Salad)

• P(Juice | Fries)

• P(Juice | Salad)

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

Jim and Sue each take a driving test.

What is the probability that only one of them will pass the test?

At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below shows the orders taken for one day.

Given that a person orders fries, what is the probability that they would have juice?

• 75/500 = 3/20

• 25/500 = 1/20

• 25/150 = 1/6

• 75/350 = 3/14

At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below shows the orders taken for one day.

Using the tree diagram, how many orders were taken in one day?

At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below shows the orders taken for one day.

Given that a person orders a burger with a salad, what is the probability that they would have juice?

• 75/500 = 3/20

• 25/500 = 1/20

• 25/150 = 1/6

• 75/350 = 3/14

At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below shows the orders taken for one day.

What is the probability of ordering fries?

• 350/500 = 70%

• 500/350 = 142%

• 350/150 = 233%

• 75/350 = 21%

At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below shows the orders taken for one day. Given that a person orders a burger fries, what is the probability they would have a coke?

• 625/500 = 125%

• 75/500 = 15%

• 275/350 = 79%

• 625/350 = 179%