9.04 Two-step 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.
List the sample space of two digit numbers produced by this process.
Separate different outcomes with a comma.
Find the probability that $2$2 appears as a digit in the number.
Find the probability that the sum of the two selected cards is even.
What is the probability of forming a number greater than $40$40?
A container holds four counters coloured red, blue, green and yellow.
A bucket contains $5$5 green buttons and $7$7 black buttons. Two buttons are drawn in succession from the bucket. The first button is replaced before the second button is drawn.
A container holds three cards coloured red, blue and green.