# Maths - Grade 11

## Maths - Grade 11

Year 11 Mathematics B

Assignment 2 Semester 2

Part A.1
Specific triple:
If, for example you chose the number 5, go through the top row of section 5 of table 1 in the appendices and highlight each outcome with 2 of the same number, as shown in yellow, and then follow this column down until it reaches the row with the same number, resulting in three rolls of the same number.
The chance of getting all three of the same number is [pic] as highlighted in red in table 1 section 5.

For example:
Chance of rolling a 5 is: Chance of rolling a second 5 is:
[pic] [pic] [pic] =[pic]

Chance of rolling two 5’s is: Chance of rolling a third 5 is:
[pic] [pic] [pic] =[pic].
The chance of rolling a Specific Triple is [pic].

Any Triple:
Go through the top row of each section of table 1 in the appendices and highlight each possible outcome with two of the same number, as shown in yellow, and then follow this column down until it reaches the row with the same number, resulting in three rolls of the same number.
The chance of getting all three of the same number is [pic] as highlighted in red in table 1.

For example if you chose a 1:
Chance of rolling a 1 is: Chance of rolling a second 1 is:
[pic] [pic] [pic] =[pic]
Because there are 6 numbers on a die

Chance of rolling two 1’s is: Chance of rolling a third 1 is:
[pic] [pic] [pic] =[pic].

There are 6 numbers that you could roll triple of so 6 [pic][pic]=[pic] or simplified to [pic]
The chance of rolling Any Triple is [pic].

Specific Double:
If, for example you chose the number 5, go through section 5 of table 2 in the appendices and highlight each outcome with exactly 2 of the same number, as shown in yellow. Count the number of highlighted outcomes in the table. There are 15 outcomes with exactly 2 of the same number.
The chance of rolling a specific double is[pic] or simplified to [pic].
Small:
Go through each section in table 3 and highlight...