Probability Conditional Venn Diagrams Two Way Tables

What is the probability of playing football given you also wrestle?

• 26/28

• 10/34

• 10

• 10/18

What is P(Foreign language | Sport)?

Reduce your fraction

• 14/27

• 7/12

• 23/47

• 37/47

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

• .2

• .2222

• .10

• .5

Answer explanation

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 of a passenger on the Titanic surviving given they were in first class?

• .2855

• .6246

• .0922

• .3230

Answer explanation

A number is selected, at random, from the set {1, 2, 3, 4, 5, 6, 7, 8}.

Find P(odd given less than 7).

• 1/2

• 3/8

• 4/7

• 1/4

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)?

• 
• 

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.