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AustraliaVIC
VCE 11 Methods 2023

6.05 Independent events and data

Interactive practice questions

Ursula takes a bus to the station and then immediately gets on a train to work. Is the probability of her missing the train independent or dependent on her missing her bus?

Dependent

A

Independent

B
Easy
< 1min

If two events are independent, then

$P$P$($($A$A and $B$B$)$) $=$=

Easy
< 1min

The probability that Ursula, Jimmy and Bianca get permission to go on their school trip are $0.5$0.5, $0.7$0.7 and $0.3$0.3, respectively. What is the probability that at least one of them gets permission?

Easy
2min

Given that $P\left(A\cap B\right)=$P(AB)=$0.2$0.2 and $P\left(A\cap B'\right)=$P(AB)=$0.3$0.3.

Medium
5min
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Outcomes

U1.AoS4.3

addition and multiplication principles for counting

U2.AoS4.2

the addition rule for probabilities

U2.AoS4.5

the relations for pairwise independent events A and B

U2.AoS4.7

representations of compound events, the addition rule for probability, the concepts of mutually exclusive and independent events, conditional probability and the law of total probability

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