7. Probability
Interactive practice questions
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.
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|---|---|---|---|---|---|---|
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$0$0 | $1$1 | $2$2 | $3$3 | $4$4 | $5$5 |
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$1$1 | $0$0 | $1$1 | $2$2 | $3$3 | $4$4 |
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$2$2 | $1$1 | $0$0 | $1$1 | $2$2 | $3$3 |
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$3$3 | $2$2 | $1$1 | $0$0 | $1$1 | $2$2 |
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$4$4 | $3$3 | $2$2 | $1$1 | $0$0 | $1$1 |
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$5$5 | $4$4 | $3$3 | $2$2 | $1$1 | $0$0 |
a
What is the sample space for the difference of two dice?
Give your answer as values on the same line separated by commas.
b
What is the probability the dice will have a difference of $0$0?
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
Consider an experiment where two dice are rolled.
Medium
6min
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