Conditional Probability Tree Diagram

P(B | A') = ?

• 0.7

• 0.4

• 0.12

• 1.15

P(A | B') = ?

• 0.2

• 0.3

• 2.75

• 1.75

Answer explanation

When the given condition is the SECOND event on the tree diagram, you will need to do more math...

The denominator is the sum of BOTH outcomes that have the given condition.

the probability of an event based on the occurrence of another event

• conditional

• disjoint

• complement

• overlapping

• uniform

What is the probability that a student plays a sport given they do not play an instrument? 

• .2

• .2222

• .10

• .5

Answer explanation

When the given condition is the SECOND event on the tree diagram, for example P(A | B), you will need to do more math to find the denominator. Which image shows the highlighted branches that would be the denominator for P(A | B)?

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What is the probability of a fast ball having been thrown, given the batter was a strike out? P(Fast | Strike) = ?

• 0.7

• 0.60

• 0.875

• 0.9

Answer explanation

When the given condition is the SECOND event on the tree diagram, you will need to do more math...

The denominator is the sum of BOTH outcomes that have the given condition.

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 show the orders taken of one day.

Of the order with fries, what is the probability they would have a coke?

• 625/500 = 125%

• 75/500 = 15%

• 275/350 = 79%

• 625/350 = 179%

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 show the orders taken of one day.

Of the order with salad, what is the probability that they would have a coke?

• 125/500 = 1/4

• 25/500 = 1/20

• 25/150 = 1/6

• 125/150 = 5/6

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 show the orders taken of one day. Which probability has the highest outcome?

• P(Cola | Fries)

• P(Cola | Salad)

• P(Juice | Fries)

• P(Juice | Salad)

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 show the orders taken of one day. Using the tree diagram, how many orders were take in one day?