4.2 Probability Diagrams - Tree & Venn Diagrams

On any Saturday, the probability that Arun plays football is 
On any Saturday, the probability that Bob plays football is 

Complete the tree diagram.

Calculate the probability that, one Saturday, Arun and Bob both play football.

Calculate the probability that, one Saturday, either Arun plays football or Bob plays football, but not both.

{students in a school}
{students who play football}
{students who play baseball}
 
There are 240 students in the school.
 
• 120 students play football
• 40 students play baseball 
• 90 students play football but not baseball.

Complete the Venn diagram to show this information.
 

A student in the school is chosen at random.
 
Find the probability that this student plays baseball but not football.

The Venn diagram below shows information about the number of gardeners who grow melons ( ), potatoes ( ) and carrots ( ).

A gardener is chosen at random from the gardeners who grow melons.
 
Find the probability that this gardener does not grow carrots.

A soccer team plays two matches.
The tree diagram shows the probability of the team winning or losing the matches. 

Find the probability that the soccer team wins at least one of the two matches.

The diagram shows six discs.
Each disc has a colour and a number.

Two of the six discs are picked at random with replacement.

Find the probability that both discs have the same colour.

The probability that Andrei cycles to school is .

Write down, in terms of , the probability that Andrei does not cycle to school. 

The probability that Benoit does not cycle to school is .
The probability that both Andrei and Benoit do not cycle to school is .

The probability that the school bus is late is .
If the school bus is late, the probability that Seb travels on the bus is .
If the school bus is on time, the probability that Seb travels on the bus is .

Find the probability that Seb travels on the bus.

Calculate the probability that Harris takes no more than three attempts to pass the driving test.

The probability that it will rain tomorrow is .
If it rains, the probability that Rafael walks to school is .
If it does not rain, the probability that Rafael walks to school is .

Complete the tree diagram.

Calculate the probability that it will rain tomorrow and Rafael walks to school.

Calculate the probability that Rafael does not walk to school.