Probability Venn, Tree Diagram

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

• 26/28

• 10/34

• 10

• 10/18

P(B | A') = ?

• 0.7

• 0.4

• 0.12

• 1.15

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.

What is P(Foreign language | Sport)?

Reduce your fraction

• 14/27

• 7/12

• 23/47

• 37/47

What is P(not sport | Foreign language)?

• 23/37

• 14/23

• 14/37

• 3/23

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)?

• 
• 

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.

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

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing both tennis soccer?

• 1/6

• 5

• 20

• 2/3