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6.03 Probability and arrays

Interactive practice questions

Ben has $3$3 shirts: crimson ($C$C), pink ($P$P) and white ($W$W), and $4$4 ties: blue ($B$B), grey ($G$G), red ($R$R) and yellow ($Y$Y).

a

Fill in the array using capital letters to show all the possible outfits Ben could wear.

  Crimson ($C$C) Pink ($P$P) White ($W$W)
Blue ($B$B) $C$C,$\editable{}$ $\editable{}$,$B$B $\editable{}$,$B$B
Grey ($G$G) $C$C,$\editable{}$ $\editable{}$,$G$G $W$W,$\editable{}$
Red ($R$R) $\editable{}$,$R$R $\editable{}$,$R$R $W$W,$\editable{}$
Yellow (Y) $\editable{}$,$Y$Y $P$P,$\editable{}$ $\editable{}$,$Y$Y
b

How many different outfits are possible?

Easy
1min

A player is rolling $2$2 dice and looking at their difference, that is, the largest number minus the smaller number. They draw up a table of all the possible dice rolls for two dice and what their difference is.

Easy
1min

In an experiment, several balls coloured either green or black and numbered $1$1 to $11$11 are placed in a bag. The table show all outcomes in the sample space. What is the probability that a ball drawn at random:

Easy
1min
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Outcomes

4.2.2.1

construct a sample space for an experiment

4.2.2.2

use a sample space to determine the probability of outcomes for an experiment

4.2.2.3

use arrays or tree diagrams to determine the outcomes and the probabilities for experiments

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