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

Dependent

Independent

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?

Medium

2min

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

Medium

5min

Outcomes

1.3.3.3

understand the notion of independence of an event A from an event B, as defined by P(A|B)=P(A)

1.3.3.4

establish and use the formula 𝑃(𝐴∩𝐵) = 𝑃(A)𝑃(𝐵) for independent events 𝐴 and 𝐵, and recognise the symmetry of independence

1.3.3.5

use relative frequencies obtained from data as point estimates of conditional probabilities and as indications of possible independence of events

5.06 Independent events and data

Interactive practice questions

Outcomes

1.3.3.3

1.3.3.4

1.3.3.5

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