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10.02 Introduction to multi-stage experiments

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.

234324423

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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Outcomes

MA11-7

uses concepts and techniques from probability to present and interpret data and solve problems in a variety of contexts, including the use of probability distributions

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