10. Probability
Standard Level
10.07 Multi-stage events
Interactive practice questions
Three cards labelled $\editable{2}$2, $\editable{3}$3 and $\editable{4}$4 are placed face down on a table. Two of the cards are selected randomly to form a two-digit number. The outcomes are displayed in the following probability tree.
a
List the sample space of two digit numbers produced by this process.
Separate different outcomes with a comma.
b
Find the probability that $2$2 appears as a digit in the number.
c
Find the probability that the sum of the two selected cards is even.
d
What is the probability of forming a number greater than $40$40?
Easy
3min
A coin is tossed twice.
Easy
1min
Luke can’t remember the order of his PIN for his EFTPOS card, but he knows it contains the digits in $2853$2853.
Easy
8min
Ivan rolled a standard die and then tossed a coin.
Easy
3min
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