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9.05 Probability calculations

Interactive practice questions

Sandy wants to categorise a list of $11$11 terms based on whether they are written with a $3$3, and whether they are even. If a term from the list is chosen at random, what is the probability that:

Sandy's list of terms
$1,2,3,5,8,13,21,34,55,89,144$1,2,3,5,8,13,21,34,55,89,144
a

is an even number that isn't written with a $3$3?

b

it is written with a $3$3 or is an odd number?

c

is either odd or is written with a $3$3, but not both?

Easy
3min

In their class $5$5 people play both football and tennis, $13$13 people in total play tennis, and $11$11 in total play football.

 

Easy
2min

In a study, some people were asked whether they were musicians or not.

$25$25 responders said they were a musician, of which $10$10 were children. $25$25 children said they were not musicians, and $13$13 adults said they are not musicians.

Easy
3min

A grade of $234$234 students are to choose to study either Mandarin or Spanish (or both). $134$134 students choose Mandarin and $120$120 students choose Spanish.

Easy
3min
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Outcomes

VCMSP294

Identify complementary events and use the sum of probabilities to solve problems

VCMSP295

Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and' (

VCMSP296

Represent events in two-way tables and Venn diagrams and solve related problems

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